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Finding the Fourth Proportional to 19,652.49, 29,472.66 and 6,502.14

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Solution

The fourth proportional to 19,652.49, 29,472.66 and 6,502.14 is: 9,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.49 : 29,472.66 = 6,502.14 : x
  2. Step 2: Convert to fraction form
    19,652.49/29,472.66 = 6,502.14/x
  3. Step 3: Cross multiply
    19,652.49x = 29,472.66 × 6,502.14
  4. Step 4: Simplify right side
    19,652.49x = 191,635,361.49
  5. Step 5: Solve for x
    x = 191,635,361.49/19,652.49
  6. Step 6: Final answer
    x = 9,751.20

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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.