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Finding the Fourth Proportional to 16,135.31, 22,267.87 and 9,061.74

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Solution

The fourth proportional to 16,135.31, 22,267.87 and 9,061.74 is: 12,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.31 : 22,267.87 = 9,061.74 : x
  2. Step 2: Convert to fraction form
    16,135.31/22,267.87 = 9,061.74/x
  3. Step 3: Cross multiply
    16,135.31x = 22,267.87 × 9,061.74
  4. Step 4: Simplify right side
    16,135.31x = 201,785,625.64
  5. Step 5: Solve for x
    x = 201,785,625.64/16,135.31
  6. Step 6: Final answer
    x = 12,505.84

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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.