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Finding the Fourth Proportional to 23,549.28, 32,498.46 and 12,938.28

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Solution

The fourth proportional to 23,549.28, 32,498.46 and 12,938.28 is: 17,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.28 : 32,498.46 = 12,938.28 : x
  2. Step 2: Convert to fraction form
    23,549.28/32,498.46 = 12,938.28/x
  3. Step 3: Cross multiply
    23,549.28x = 32,498.46 × 12,938.28
  4. Step 4: Simplify right side
    23,549.28x = 420,474,175.05
  5. Step 5: Solve for x
    x = 420,474,175.05/23,549.28
  6. Step 6: Final answer
    x = 17,855.08

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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.