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Finding the Fourth Proportional to 24,874.97, 34,325.71 and 14,120.06

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Solution

The fourth proportional to 24,874.97, 34,325.71 and 14,120.06 is: 19,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.97 : 34,325.71 = 14,120.06 : x
  2. Step 2: Convert to fraction form
    24,874.97/34,325.71 = 14,120.06/x
  3. Step 3: Cross multiply
    24,874.97x = 34,325.71 × 14,120.06
  4. Step 4: Simplify right side
    24,874.97x = 484,681,084.74
  5. Step 5: Solve for x
    x = 484,681,084.74/24,874.97
  6. Step 6: Final answer
    x = 19,484.69

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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.