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Finding the Fourth Proportional to 16,182.99, 22,327.17 and 9,463.86

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Solution

The fourth proportional to 16,182.99, 22,327.17 and 9,463.86 is: 13,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.99 : 22,327.17 = 9,463.86 : x
  2. Step 2: Convert to fraction form
    16,182.99/22,327.17 = 9,463.86/x
  3. Step 3: Cross multiply
    16,182.99x = 22,327.17 × 9,463.86
  4. Step 4: Simplify right side
    16,182.99x = 211,301,265.00
  5. Step 5: Solve for x
    x = 211,301,265.00/16,182.99
  6. Step 6: Final answer
    x = 13,057.00

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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.