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Finding the Fourth Proportional to 23,532.46, 32,490 and 14,589.46

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Solution

The fourth proportional to 23,532.46, 32,490 and 14,589.46 is: 20,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.46 : 32,490 = 14,589.46 : x
  2. Step 2: Convert to fraction form
    23,532.46/32,490 = 14,589.46/x
  3. Step 3: Cross multiply
    23,532.46x = 32,490 × 14,589.46
  4. Step 4: Simplify right side
    23,532.46x = 474,011,555.40
  5. Step 5: Solve for x
    x = 474,011,555.40/23,532.46
  6. Step 6: Final answer
    x = 20,142.88

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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.