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Finding the Fourth Proportional to 15,141.74, 20,895.44 and 8,427.26

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Solution

The fourth proportional to 15,141.74, 20,895.44 and 8,427.26 is: 11,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.74 : 20,895.44 = 8,427.26 : x
  2. Step 2: Convert to fraction form
    15,141.74/20,895.44 = 8,427.26/x
  3. Step 3: Cross multiply
    15,141.74x = 20,895.44 × 8,427.26
  4. Step 4: Simplify right side
    15,141.74x = 176,091,315.80
  5. Step 5: Solve for x
    x = 176,091,315.80/15,141.74
  6. Step 6: Final answer
    x = 11,629.53

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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.