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Finding the Fourth Proportional to 17,557.98, 24,246.27 and 11,281.38

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Solution

The fourth proportional to 17,557.98, 24,246.27 and 11,281.38 is: 15,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557.98 : 24,246.27 = 11,281.38 : x
  2. Step 2: Convert to fraction form
    17,557.98/24,246.27 = 11,281.38/x
  3. Step 3: Cross multiply
    17,557.98x = 24,246.27 × 11,281.38
  4. Step 4: Simplify right side
    17,557.98x = 273,531,385.45
  5. Step 5: Solve for x
    x = 273,531,385.45/17,557.98
  6. Step 6: Final answer
    x = 15,578.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.