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Finding the Fourth Proportional to 23,041.28, 34,561.86 and 9,200

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Solution

The fourth proportional to 23,041.28, 34,561.86 and 9,200 is: 13,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.28 : 34,561.86 = 9,200 : x
  2. Step 2: Convert to fraction form
    23,041.28/34,561.86 = 9,200/x
  3. Step 3: Cross multiply
    23,041.28x = 34,561.86 × 9,200
  4. Step 4: Simplify right side
    23,041.28x = 317,969,112
  5. Step 5: Solve for x
    x = 317,969,112/23,041.28
  6. Step 6: Final answer
    x = 13,799.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.