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Finding the Fourth Proportional to 16,034.59, 22,131.53 and 9,745.75

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Solution

The fourth proportional to 16,034.59, 22,131.53 and 9,745.75 is: 13,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.59 : 22,131.53 = 9,745.75 : x
  2. Step 2: Convert to fraction form
    16,034.59/22,131.53 = 9,745.75/x
  3. Step 3: Cross multiply
    16,034.59x = 22,131.53 × 9,745.75
  4. Step 4: Simplify right side
    16,034.59x = 215,688,358.50
  5. Step 5: Solve for x
    x = 215,688,358.50/16,034.59
  6. Step 6: Final answer
    x = 13,451.44

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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.