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Finding the Fourth Proportional to 16,272.38, 24,411 and 5,886.56

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Solution

The fourth proportional to 16,272.38, 24,411 and 5,886.56 is: 8,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.38 : 24,411 = 5,886.56 : x
  2. Step 2: Convert to fraction form
    16,272.38/24,411 = 5,886.56/x
  3. Step 3: Cross multiply
    16,272.38x = 24,411 × 5,886.56
  4. Step 4: Simplify right side
    16,272.38x = 143,696,694.11
  5. Step 5: Solve for x
    x = 143,696,694.11/16,272.38
  6. Step 6: Final answer
    x = 8,830.71

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Why These Related Problems?

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