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Finding the Fourth Proportional to 17,752.98, 24,498.78 and 10,097.65

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Solution

The fourth proportional to 17,752.98, 24,498.78 and 10,097.65 is: 13,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.98 : 24,498.78 = 10,097.65 : x
  2. Step 2: Convert to fraction form
    17,752.98/24,498.78 = 10,097.65/x
  3. Step 3: Cross multiply
    17,752.98x = 24,498.78 × 10,097.65
  4. Step 4: Simplify right side
    17,752.98x = 247,380,105.87
  5. Step 5: Solve for x
    x = 247,380,105.87/17,752.98
  6. Step 6: Final answer
    x = 13,934.57

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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.