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Finding the Fourth Proportional to 57,668, 86,502.08 and 13,892

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Solution

The fourth proportional to 57,668, 86,502.08 and 13,892 is: 20,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,668 : 86,502.08 = 13,892 : x
  2. Step 2: Convert to fraction form
    57,668/86,502.08 = 13,892/x
  3. Step 3: Cross multiply
    57,668x = 86,502.08 × 13,892
  4. Step 4: Simplify right side
    57,668x = 1,201,686,895.36
  5. Step 5: Solve for x
    x = 1,201,686,895.36/57,668
  6. Step 6: Final answer
    x = 20,838.02

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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.