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Finding the Fourth Proportional to 16,159.28, 24,218.76 and 5,759.60

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Solution

The fourth proportional to 16,159.28, 24,218.76 and 5,759.60 is: 8,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.28 : 24,218.76 = 5,759.60 : x
  2. Step 2: Convert to fraction form
    16,159.28/24,218.76 = 5,759.60/x
  3. Step 3: Cross multiply
    16,159.28x = 24,218.76 × 5,759.60
  4. Step 4: Simplify right side
    16,159.28x = 139,490,370.10
  5. Step 5: Solve for x
    x = 139,490,370.10/16,159.28
  6. Step 6: Final answer
    x = 8,632.21

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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.