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Finding the Fourth Proportional to 24,694.91, 34,078.64 and 14,084.72

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Solution

The fourth proportional to 24,694.91, 34,078.64 and 14,084.72 is: 19,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.91 : 34,078.64 = 14,084.72 : x
  2. Step 2: Convert to fraction form
    24,694.91/34,078.64 = 14,084.72/x
  3. Step 3: Cross multiply
    24,694.91x = 34,078.64 × 14,084.72
  4. Step 4: Simplify right side
    24,694.91x = 479,988,117.15
  5. Step 5: Solve for x
    x = 479,988,117.15/24,694.91
  6. Step 6: Final answer
    x = 19,436.72

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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.