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Finding the Fourth Proportional to 17,752.62, 24,500.70 and 10,200.18

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Solution

The fourth proportional to 17,752.62, 24,500.70 and 10,200.18 is: 14,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.62 : 24,500.70 = 10,200.18 : x
  2. Step 2: Convert to fraction form
    17,752.62/24,500.70 = 10,200.18/x
  3. Step 3: Cross multiply
    17,752.62x = 24,500.70 × 10,200.18
  4. Step 4: Simplify right side
    17,752.62x = 249,911,550.13
  5. Step 5: Solve for x
    x = 249,911,550.13/17,752.62
  6. Step 6: Final answer
    x = 14,077.45

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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.