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Finding the Fourth Proportional to 22,524.12, 31,088.22 and 13,098.12

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Solution

The fourth proportional to 22,524.12, 31,088.22 and 13,098.12 is: 18,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.12 : 31,088.22 = 13,098.12 : x
  2. Step 2: Convert to fraction form
    22,524.12/31,088.22 = 13,098.12/x
  3. Step 3: Cross multiply
    22,524.12x = 31,088.22 × 13,098.12
  4. Step 4: Simplify right side
    22,524.12x = 407,197,236.15
  5. Step 5: Solve for x
    x = 407,197,236.15/22,524.12
  6. Step 6: Final answer
    x = 18,078.28

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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.