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Finding the Fourth Proportional to 23,752.30, 32,772.02 and 14,188.28

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Solution

The fourth proportional to 23,752.30, 32,772.02 and 14,188.28 is: 19,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.30 : 32,772.02 = 14,188.28 : x
  2. Step 2: Convert to fraction form
    23,752.30/32,772.02 = 14,188.28/x
  3. Step 3: Cross multiply
    23,752.30x = 32,772.02 × 14,188.28
  4. Step 4: Simplify right side
    23,752.30x = 464,978,432.07
  5. Step 5: Solve for x
    x = 464,978,432.07/23,752.30
  6. Step 6: Final answer
    x = 19,576.14

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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.