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Finding the Fourth Proportional to 17,830.90, 24,604.92 and 10,659.38

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Solution

The fourth proportional to 17,830.90, 24,604.92 and 10,659.38 is: 14,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.90 : 24,604.92 = 10,659.38 : x
  2. Step 2: Convert to fraction form
    17,830.90/24,604.92 = 10,659.38/x
  3. Step 3: Cross multiply
    17,830.90x = 24,604.92 × 10,659.38
  4. Step 4: Simplify right side
    17,830.90x = 262,273,253.66
  5. Step 5: Solve for x
    x = 262,273,253.66/17,830.90
  6. Step 6: Final answer
    x = 14,708.92

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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.