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Finding the Fourth Proportional to 29,711.88, 44,577.74 and 9,722.30

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Solution

The fourth proportional to 29,711.88, 44,577.74 and 9,722.30 is: 14,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.88 : 44,577.74 = 9,722.30 : x
  2. Step 2: Convert to fraction form
    29,711.88/44,577.74 = 9,722.30/x
  3. Step 3: Cross multiply
    29,711.88x = 44,577.74 × 9,722.30
  4. Step 4: Simplify right side
    29,711.88x = 433,397,963.02
  5. Step 5: Solve for x
    x = 433,397,963.02/29,711.88
  6. Step 6: Final answer
    x = 14,586.69

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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.