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Finding the Fourth Proportional to 17,543.39, 24,207.07 and 9,989.86

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Solution

The fourth proportional to 17,543.39, 24,207.07 and 9,989.86 is: 13,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.39 : 24,207.07 = 9,989.86 : x
  2. Step 2: Convert to fraction form
    17,543.39/24,207.07 = 9,989.86/x
  3. Step 3: Cross multiply
    17,543.39x = 24,207.07 × 9,989.86
  4. Step 4: Simplify right side
    17,543.39x = 241,825,325.11
  5. Step 5: Solve for x
    x = 241,825,325.11/17,543.39
  6. Step 6: Final answer
    x = 13,784.42

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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.