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Finding the Fourth Proportional to 16,131.50, 22,261.47 and 9,057.93

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Solution

The fourth proportional to 16,131.50, 22,261.47 and 9,057.93 is: 12,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.50 : 22,261.47 = 9,057.93 : x
  2. Step 2: Convert to fraction form
    16,131.50/22,261.47 = 9,057.93/x
  3. Step 3: Cross multiply
    16,131.50x = 22,261.47 × 9,057.93
  4. Step 4: Simplify right side
    16,131.50x = 201,642,836.96
  5. Step 5: Solve for x
    x = 201,642,836.96/16,131.50
  6. Step 6: Final answer
    x = 12,499.94

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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.