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Finding the Fourth Proportional to 17,635.32, 24,332.94 and 10,179

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Solution

The fourth proportional to 17,635.32, 24,332.94 and 10,179 is: 14,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.32 : 24,332.94 = 10,179 : x
  2. Step 2: Convert to fraction form
    17,635.32/24,332.94 = 10,179/x
  3. Step 3: Cross multiply
    17,635.32x = 24,332.94 × 10,179
  4. Step 4: Simplify right side
    17,635.32x = 247,684,996.26
  5. Step 5: Solve for x
    x = 247,684,996.26/17,635.32
  6. Step 6: Final answer
    x = 14,044.83

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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.