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Finding the Fourth Proportional to 29,465.22, 44,206.08 and 9,757.65

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Solution

The fourth proportional to 29,465.22, 44,206.08 and 9,757.65 is: 14,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.22 : 44,206.08 = 9,757.65 : x
  2. Step 2: Convert to fraction form
    29,465.22/44,206.08 = 9,757.65/x
  3. Step 3: Cross multiply
    29,465.22x = 44,206.08 × 9,757.65
  4. Step 4: Simplify right side
    29,465.22x = 431,347,456.51
  5. Step 5: Solve for x
    x = 431,347,456.51/29,465.22
  6. Step 6: Final answer
    x = 14,639.21

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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.