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Finding the Fourth Proportional to 17,449.60, 24,086.70 and 10,376

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Solution

The fourth proportional to 17,449.60, 24,086.70 and 10,376 is: 14,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.60 : 24,086.70 = 10,376 : x
  2. Step 2: Convert to fraction form
    17,449.60/24,086.70 = 10,376/x
  3. Step 3: Cross multiply
    17,449.60x = 24,086.70 × 10,376
  4. Step 4: Simplify right side
    17,449.60x = 249,923,599.20
  5. Step 5: Solve for x
    x = 249,923,599.20/17,449.60
  6. Step 6: Final answer
    x = 14,322.60

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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.