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Finding the Fourth Proportional to 22,402.16, 30,911.72 and 13,447.76

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Solution

The fourth proportional to 22,402.16, 30,911.72 and 13,447.76 is: 18,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.16 : 30,911.72 = 13,447.76 : x
  2. Step 2: Convert to fraction form
    22,402.16/30,911.72 = 13,447.76/x
  3. Step 3: Cross multiply
    22,402.16x = 30,911.72 × 13,447.76
  4. Step 4: Simplify right side
    22,402.16x = 415,693,391.75
  5. Step 5: Solve for x
    x = 415,693,391.75/22,402.16
  6. Step 6: Final answer
    x = 18,555.95

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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.