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Finding the Fourth Proportional to 29,399.67, 44,102.61 and 9,678.24

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Solution

The fourth proportional to 29,399.67, 44,102.61 and 9,678.24 is: 14,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,399.67 : 44,102.61 = 9,678.24 : x
  2. Step 2: Convert to fraction form
    29,399.67/44,102.61 = 9,678.24/x
  3. Step 3: Cross multiply
    29,399.67x = 44,102.61 × 9,678.24
  4. Step 4: Simplify right side
    29,399.67x = 426,835,644.21
  5. Step 5: Solve for x
    x = 426,835,644.21/29,399.67
  6. Step 6: Final answer
    x = 14,518.38

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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.