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Finding the Fourth Proportional to 23,449.28, 32,360 and 12,838.88

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Solution

The fourth proportional to 23,449.28, 32,360 and 12,838.88 is: 17,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.28 : 32,360 = 12,838.88 : x
  2. Step 2: Convert to fraction form
    23,449.28/32,360 = 12,838.88/x
  3. Step 3: Cross multiply
    23,449.28x = 32,360 × 12,838.88
  4. Step 4: Simplify right side
    23,449.28x = 415,466,156.80
  5. Step 5: Solve for x
    x = 415,466,156.80/23,449.28
  6. Step 6: Final answer
    x = 17,717.65

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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.