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Finding the Fourth Proportional to 12,663.86, 17,470.76 and 8,473.46

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Solution

The fourth proportional to 12,663.86, 17,470.76 and 8,473.46 is: 11,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.86 : 17,470.76 = 8,473.46 : x
  2. Step 2: Convert to fraction form
    12,663.86/17,470.76 = 8,473.46/x
  3. Step 3: Cross multiply
    12,663.86x = 17,470.76 × 8,473.46
  4. Step 4: Simplify right side
    12,663.86x = 148,037,786.03
  5. Step 5: Solve for x
    x = 148,037,786.03/12,663.86
  6. Step 6: Final answer
    x = 11,689.78

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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.