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Finding the Fourth Proportional to 21,792.57, 32,688.70 and 14,429.97

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Solution

The fourth proportional to 21,792.57, 32,688.70 and 14,429.97 is: 21,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792.57 : 32,688.70 = 14,429.97 : x
  2. Step 2: Convert to fraction form
    21,792.57/32,688.70 = 14,429.97/x
  3. Step 3: Cross multiply
    21,792.57x = 32,688.70 × 14,429.97
  4. Step 4: Simplify right side
    21,792.57x = 471,697,016.20
  5. Step 5: Solve for x
    x = 471,697,016.20/21,792.57
  6. Step 6: Final answer
    x = 21,644.86

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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.