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Finding the Fourth Proportional to 17,454.95, 24,086.00 and 9,898.86

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Solution

The fourth proportional to 17,454.95, 24,086.00 and 9,898.86 is: 13,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.95 : 24,086.00 = 9,898.86 : x
  2. Step 2: Convert to fraction form
    17,454.95/24,086.00 = 9,898.86/x
  3. Step 3: Cross multiply
    17,454.95x = 24,086.00 × 9,898.86
  4. Step 4: Simplify right side
    17,454.95x = 238,423,892.47
  5. Step 5: Solve for x
    x = 238,423,892.47/17,454.95
  6. Step 6: Final answer
    x = 13,659.39

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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.