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Finding the Fourth Proportional to 15,023.43, 20,732.01 and 8,309.13

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Solution

The fourth proportional to 15,023.43, 20,732.01 and 8,309.13 is: 11,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.43 : 20,732.01 = 8,309.13 : x
  2. Step 2: Convert to fraction form
    15,023.43/20,732.01 = 8,309.13/x
  3. Step 3: Cross multiply
    15,023.43x = 20,732.01 × 8,309.13
  4. Step 4: Simplify right side
    15,023.43x = 172,264,966.25
  5. Step 5: Solve for x
    x = 172,264,966.25/15,023.43
  6. Step 6: Final answer
    x = 11,466.42

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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.