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Finding the Fourth Proportional to 23,737.85, 32,761.62 and 14,788.16

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Solution

The fourth proportional to 23,737.85, 32,761.62 and 14,788.16 is: 20,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.85 : 32,761.62 = 14,788.16 : x
  2. Step 2: Convert to fraction form
    23,737.85/32,761.62 = 14,788.16/x
  3. Step 3: Cross multiply
    23,737.85x = 32,761.62 × 14,788.16
  4. Step 4: Simplify right side
    23,737.85x = 484,483,914.61
  5. Step 5: Solve for x
    x = 484,483,914.61/23,737.85
  6. Step 6: Final answer
    x = 20,409.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.