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Finding the Fourth Proportional to 24,784.57, 34,202.62 and 14,174.18

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Solution

The fourth proportional to 24,784.57, 34,202.62 and 14,174.18 is: 19,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.57 : 34,202.62 = 14,174.18 : x
  2. Step 2: Convert to fraction form
    24,784.57/34,202.62 = 14,174.18/x
  3. Step 3: Cross multiply
    24,784.57x = 34,202.62 × 14,174.18
  4. Step 4: Simplify right side
    24,784.57x = 484,794,092.35
  5. Step 5: Solve for x
    x = 484,794,092.35/24,784.57
  6. Step 6: Final answer
    x = 19,560.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.