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Finding the Fourth Proportional to 23,456.66, 32,369.56 and 13,384.92

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Solution

The fourth proportional to 23,456.66, 32,369.56 and 13,384.92 is: 18,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.66 : 32,369.56 = 13,384.92 : x
  2. Step 2: Convert to fraction form
    23,456.66/32,369.56 = 13,384.92/x
  3. Step 3: Cross multiply
    23,456.66x = 32,369.56 × 13,384.92
  4. Step 4: Simplify right side
    23,456.66x = 433,263,971.04
  5. Step 5: Solve for x
    x = 433,263,971.04/23,456.66
  6. Step 6: Final answer
    x = 18,470.83

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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.