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Finding the Fourth Proportional to 22,354.35, 30,851.69 and 13,406.78

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Solution

The fourth proportional to 22,354.35, 30,851.69 and 13,406.78 is: 18,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.35 : 30,851.69 = 13,406.78 : x
  2. Step 2: Convert to fraction form
    22,354.35/30,851.69 = 13,406.78/x
  3. Step 3: Cross multiply
    22,354.35x = 30,851.69 × 13,406.78
  4. Step 4: Simplify right side
    22,354.35x = 413,621,820.46
  5. Step 5: Solve for x
    x = 413,621,820.46/22,354.35
  6. Step 6: Final answer
    x = 18,502.97

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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.