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Finding the Fourth Proportional to 26,468.87, 39,702.02 and 9,832.14

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Solution

The fourth proportional to 26,468.87, 39,702.02 and 9,832.14 is: 14,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468.87 : 39,702.02 = 9,832.14 : x
  2. Step 2: Convert to fraction form
    26,468.87/39,702.02 = 9,832.14/x
  3. Step 3: Cross multiply
    26,468.87x = 39,702.02 × 9,832.14
  4. Step 4: Simplify right side
    26,468.87x = 390,355,769.76
  5. Step 5: Solve for x
    x = 390,355,769.76/26,468.87
  6. Step 6: Final answer
    x = 14,747.73

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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.