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Finding the Fourth Proportional to 17,447.49, 24,077.76 and 9,489.69

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Solution

The fourth proportional to 17,447.49, 24,077.76 and 9,489.69 is: 13,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.49 : 24,077.76 = 9,489.69 : x
  2. Step 2: Convert to fraction form
    17,447.49/24,077.76 = 9,489.69/x
  3. Step 3: Cross multiply
    17,447.49x = 24,077.76 × 9,489.69
  4. Step 4: Simplify right side
    17,447.49x = 228,490,478.29
  5. Step 5: Solve for x
    x = 228,490,478.29/17,447.49
  6. Step 6: Final answer
    x = 13,095.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.