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Finding the Fourth Proportional to 23,385.28, 32,266.40 and 13,952

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Solution

The fourth proportional to 23,385.28, 32,266.40 and 13,952 is: 19,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.28 : 32,266.40 = 13,952 : x
  2. Step 2: Convert to fraction form
    23,385.28/32,266.40 = 13,952/x
  3. Step 3: Cross multiply
    23,385.28x = 32,266.40 × 13,952
  4. Step 4: Simplify right side
    23,385.28x = 450,180,812.80
  5. Step 5: Solve for x
    x = 450,180,812.80/23,385.28
  6. Step 6: Final answer
    x = 19,250.61

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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.