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Finding the Fourth Proportional to 15,192.10, 20,965.14 and 8,478.13

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Solution

The fourth proportional to 15,192.10, 20,965.14 and 8,478.13 is: 11,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192.10 : 20,965.14 = 8,478.13 : x
  2. Step 2: Convert to fraction form
    15,192.10/20,965.14 = 8,478.13/x
  3. Step 3: Cross multiply
    15,192.10x = 20,965.14 × 8,478.13
  4. Step 4: Simplify right side
    15,192.10x = 177,745,035.17
  5. Step 5: Solve for x
    x = 177,745,035.17/15,192.10
  6. Step 6: Final answer
    x = 11,699.83

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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.