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Finding the Fourth Proportional to 24,689.78, 37,033.82 and 9,894.72

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Solution

The fourth proportional to 24,689.78, 37,033.82 and 9,894.72 is: 14,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.78 : 37,033.82 = 9,894.72 : x
  2. Step 2: Convert to fraction form
    24,689.78/37,033.82 = 9,894.72/x
  3. Step 3: Cross multiply
    24,689.78x = 37,033.82 × 9,894.72
  4. Step 4: Simplify right side
    24,689.78x = 366,439,279.43
  5. Step 5: Solve for x
    x = 366,439,279.43/24,689.78
  6. Step 6: Final answer
    x = 14,841.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.