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Finding the Fourth Proportional to 17,752.71, 24,498.33 and 9,794.94

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Solution

The fourth proportional to 17,752.71, 24,498.33 and 9,794.94 is: 13,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.71 : 24,498.33 = 9,794.94 : x
  2. Step 2: Convert to fraction form
    17,752.71/24,498.33 = 9,794.94/x
  3. Step 3: Cross multiply
    17,752.71x = 24,498.33 × 9,794.94
  4. Step 4: Simplify right side
    17,752.71x = 239,959,672.45
  5. Step 5: Solve for x
    x = 239,959,672.45/17,752.71
  6. Step 6: Final answer
    x = 13,516.79

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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.