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Finding the Fourth Proportional to 17,291.39, 23,861.86 and 9,737.73

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Solution

The fourth proportional to 17,291.39, 23,861.86 and 9,737.73 is: 13,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.39 : 23,861.86 = 9,737.73 : x
  2. Step 2: Convert to fraction form
    17,291.39/23,861.86 = 9,737.73/x
  3. Step 3: Cross multiply
    17,291.39x = 23,861.86 × 9,737.73
  4. Step 4: Simplify right side
    17,291.39x = 232,360,325.63
  5. Step 5: Solve for x
    x = 232,360,325.63/17,291.39
  6. Step 6: Final answer
    x = 13,437.92

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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.