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Finding the Fourth Proportional to 16,132.76, 22,261.94 and 9,057.82

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Solution

The fourth proportional to 16,132.76, 22,261.94 and 9,057.82 is: 12,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.76 : 22,261.94 = 9,057.82 : x
  2. Step 2: Convert to fraction form
    16,132.76/22,261.94 = 9,057.82/x
  3. Step 3: Cross multiply
    16,132.76x = 22,261.94 × 9,057.82
  4. Step 4: Simplify right side
    16,132.76x = 201,644,534.06
  5. Step 5: Solve for x
    x = 201,644,534.06/16,132.76
  6. Step 6: Final answer
    x = 12,499.07

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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.