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Finding the Fourth Proportional to 17,752.15, 24,497.80 and 9,794.17

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Solution

The fourth proportional to 17,752.15, 24,497.80 and 9,794.17 is: 13,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.15 : 24,497.80 = 9,794.17 : x
  2. Step 2: Convert to fraction form
    17,752.15/24,497.80 = 9,794.17/x
  3. Step 3: Cross multiply
    17,752.15x = 24,497.80 × 9,794.17
  4. Step 4: Simplify right side
    17,752.15x = 239,935,617.83
  5. Step 5: Solve for x
    x = 239,935,617.83/17,752.15
  6. Step 6: Final answer
    x = 13,515.86

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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.