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Finding the Fourth Proportional to 15,242.30, 22,856.16 and 6,472.43

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Solution

The fourth proportional to 15,242.30, 22,856.16 and 6,472.43 is: 9,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.30 : 22,856.16 = 6,472.43 : x
  2. Step 2: Convert to fraction form
    15,242.30/22,856.16 = 6,472.43/x
  3. Step 3: Cross multiply
    15,242.30x = 22,856.16 × 6,472.43
  4. Step 4: Simplify right side
    15,242.30x = 147,934,895.67
  5. Step 5: Solve for x
    x = 147,934,895.67/15,242.30
  6. Step 6: Final answer
    x = 9,705.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.