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Finding the Fourth Proportional to 16,655.24, 22,984.34 and 9,101.66

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Solution

The fourth proportional to 16,655.24, 22,984.34 and 9,101.66 is: 12,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.24 : 22,984.34 = 9,101.66 : x
  2. Step 2: Convert to fraction form
    16,655.24/22,984.34 = 9,101.66/x
  3. Step 3: Cross multiply
    16,655.24x = 22,984.34 × 9,101.66
  4. Step 4: Simplify right side
    16,655.24x = 209,195,487.57
  5. Step 5: Solve for x
    x = 209,195,487.57/16,655.24
  6. Step 6: Final answer
    x = 12,560.34

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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.