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Finding the Fourth Proportional to 14,657.52, 20,227.40 and 7,943.16

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Solution

The fourth proportional to 14,657.52, 20,227.40 and 7,943.16 is: 10,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.52 : 20,227.40 = 7,943.16 : x
  2. Step 2: Convert to fraction form
    14,657.52/20,227.40 = 7,943.16/x
  3. Step 3: Cross multiply
    14,657.52x = 20,227.40 × 7,943.16
  4. Step 4: Simplify right side
    14,657.52x = 160,669,474.58
  5. Step 5: Solve for x
    x = 160,669,474.58/14,657.52
  6. Step 6: Final answer
    x = 10,961.57

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.