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Finding the Fourth Proportional to 15,200.87, 20,969.93 and 9,532.78

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Solution

The fourth proportional to 15,200.87, 20,969.93 and 9,532.78 is: 13,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.87 : 20,969.93 = 9,532.78 : x
  2. Step 2: Convert to fraction form
    15,200.87/20,969.93 = 9,532.78/x
  3. Step 3: Cross multiply
    15,200.87x = 20,969.93 × 9,532.78
  4. Step 4: Simplify right side
    15,200.87x = 199,901,700.71
  5. Step 5: Solve for x
    x = 199,901,700.71/15,200.87
  6. Step 6: Final answer
    x = 13,150.68

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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.