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Finding the Fourth Proportional to 17,830.43, 24,598.79 and 10,272.71

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Solution

The fourth proportional to 17,830.43, 24,598.79 and 10,272.71 is: 14,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.43 : 24,598.79 = 10,272.71 : x
  2. Step 2: Convert to fraction form
    17,830.43/24,598.79 = 10,272.71/x
  3. Step 3: Cross multiply
    17,830.43x = 24,598.79 × 10,272.71
  4. Step 4: Simplify right side
    17,830.43x = 252,696,061.66
  5. Step 5: Solve for x
    x = 252,696,061.66/17,830.43
  6. Step 6: Final answer
    x = 14,172.18

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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.