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Finding the Fourth Proportional to 23,532.44, 32,490 and 14,589.48

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Solution

The fourth proportional to 23,532.44, 32,490 and 14,589.48 is: 20,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.44 : 32,490 = 14,589.48 : x
  2. Step 2: Convert to fraction form
    23,532.44/32,490 = 14,589.48/x
  3. Step 3: Cross multiply
    23,532.44x = 32,490 × 14,589.48
  4. Step 4: Simplify right side
    23,532.44x = 474,012,205.20
  5. Step 5: Solve for x
    x = 474,012,205.20/23,532.44
  6. Step 6: Final answer
    x = 20,142.93

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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.