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Finding the Fourth Proportional to 15,141.93, 20,895.71 and 8,427.44

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Solution

The fourth proportional to 15,141.93, 20,895.71 and 8,427.44 is: 11,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.93 : 20,895.71 = 8,427.44 : x
  2. Step 2: Convert to fraction form
    15,141.93/20,895.71 = 8,427.44/x
  3. Step 3: Cross multiply
    15,141.93x = 20,895.71 × 8,427.44
  4. Step 4: Simplify right side
    15,141.93x = 176,097,342.28
  5. Step 5: Solve for x
    x = 176,097,342.28/15,141.93
  6. Step 6: Final answer
    x = 11,629.78

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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.