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Finding the Fourth Proportional to 22,655.15, 31,264.32 and 13,221.89

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Solution

The fourth proportional to 22,655.15, 31,264.32 and 13,221.89 is: 18,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.15 : 31,264.32 = 13,221.89 : x
  2. Step 2: Convert to fraction form
    22,655.15/31,264.32 = 13,221.89/x
  3. Step 3: Cross multiply
    22,655.15x = 31,264.32 × 13,221.89
  4. Step 4: Simplify right side
    22,655.15x = 413,373,399.96
  5. Step 5: Solve for x
    x = 413,373,399.96/22,655.15
  6. Step 6: Final answer
    x = 18,246.33

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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.