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Finding the Fourth Proportional to 26,432.64, 39,648.20 and 9,792.30

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Solution

The fourth proportional to 26,432.64, 39,648.20 and 9,792.30 is: 14,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432.64 : 39,648.20 = 9,792.30 : x
  2. Step 2: Convert to fraction form
    26,432.64/39,648.20 = 9,792.30/x
  3. Step 3: Cross multiply
    26,432.64x = 39,648.20 × 9,792.30
  4. Step 4: Simplify right side
    26,432.64x = 388,247,019.90
  5. Step 5: Solve for x
    x = 388,247,019.90/26,432.64
  6. Step 6: Final answer
    x = 14,688.17

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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.