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Finding the Fourth Proportional to 38,566.68, 57,838.50 and 13,602

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Solution

The fourth proportional to 38,566.68, 57,838.50 and 13,602 is: 20,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.68 : 57,838.50 = 13,602 : x
  2. Step 2: Convert to fraction form
    38,566.68/57,838.50 = 13,602/x
  3. Step 3: Cross multiply
    38,566.68x = 57,838.50 × 13,602
  4. Step 4: Simplify right side
    38,566.68x = 786,719,277
  5. Step 5: Solve for x
    x = 786,719,277/38,566.68
  6. Step 6: Final answer
    x = 20,398.94

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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.