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Finding the Fourth Proportional to 22,358.76, 30,853.84 and 13,401.78

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Solution

The fourth proportional to 22,358.76, 30,853.84 and 13,401.78 is: 18,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.76 : 30,853.84 = 13,401.78 : x
  2. Step 2: Convert to fraction form
    22,358.76/30,853.84 = 13,401.78/x
  3. Step 3: Cross multiply
    22,358.76x = 30,853.84 × 13,401.78
  4. Step 4: Simplify right side
    22,358.76x = 413,496,308.83
  5. Step 5: Solve for x
    x = 413,496,308.83/22,358.76
  6. Step 6: Final answer
    x = 18,493.70

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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.