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Finding the Fourth Proportional to 22,078.46, 30,454.70 and 13,119.86

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Solution

The fourth proportional to 22,078.46, 30,454.70 and 13,119.86 is: 18,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.46 : 30,454.70 = 13,119.86 : x
  2. Step 2: Convert to fraction form
    22,078.46/30,454.70 = 13,119.86/x
  3. Step 3: Cross multiply
    22,078.46x = 30,454.70 × 13,119.86
  4. Step 4: Simplify right side
    22,078.46x = 399,561,400.34
  5. Step 5: Solve for x
    x = 399,561,400.34/22,078.46
  6. Step 6: Final answer
    x = 18,097.34

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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.