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Finding the Fourth Proportional to 29,657.75, 44,486.60 and 14,863.20

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Solution

The fourth proportional to 29,657.75, 44,486.60 and 14,863.20 is: 22,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.75 : 44,486.60 = 14,863.20 : x
  2. Step 2: Convert to fraction form
    29,657.75/44,486.60 = 14,863.20/x
  3. Step 3: Cross multiply
    29,657.75x = 44,486.60 × 14,863.20
  4. Step 4: Simplify right side
    29,657.75x = 661,213,138.29
  5. Step 5: Solve for x
    x = 661,213,138.29/29,657.75
  6. Step 6: Final answer
    x = 22,294.79

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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.