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Finding the Fourth Proportional to 23,449.29, 32,359.95 and 12,838.83

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Solution

The fourth proportional to 23,449.29, 32,359.95 and 12,838.83 is: 17,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.29 : 32,359.95 = 12,838.83 : x
  2. Step 2: Convert to fraction form
    23,449.29/32,359.95 = 12,838.83/x
  3. Step 3: Cross multiply
    23,449.29x = 32,359.95 × 12,838.83
  4. Step 4: Simplify right side
    23,449.29x = 415,463,896.86
  5. Step 5: Solve for x
    x = 415,463,896.86/23,449.29
  6. Step 6: Final answer
    x = 17,717.55

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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.