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Finding the Fourth Proportional to 17,710.24, 24,439.78 and 9,752.60

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Solution

The fourth proportional to 17,710.24, 24,439.78 and 9,752.60 is: 13,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.24 : 24,439.78 = 9,752.60 : x
  2. Step 2: Convert to fraction form
    17,710.24/24,439.78 = 9,752.60/x
  3. Step 3: Cross multiply
    17,710.24x = 24,439.78 × 9,752.60
  4. Step 4: Simplify right side
    17,710.24x = 238,351,398.43
  5. Step 5: Solve for x
    x = 238,351,398.43/17,710.24
  6. Step 6: Final answer
    x = 13,458.39

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Why These Related Problems?

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