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Finding the Fourth Proportional to 29,559.53, 44,339.70 and 9,838.16

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Solution

The fourth proportional to 29,559.53, 44,339.70 and 9,838.16 is: 14,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,559.53 : 44,339.70 = 9,838.16 : x
  2. Step 2: Convert to fraction form
    29,559.53/44,339.70 = 9,838.16/x
  3. Step 3: Cross multiply
    29,559.53x = 44,339.70 × 9,838.16
  4. Step 4: Simplify right side
    29,559.53x = 436,221,044.42
  5. Step 5: Solve for x
    x = 436,221,044.42/29,559.53
  6. Step 6: Final answer
    x = 14,757.37

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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.