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Finding the Fourth Proportional to 22,034.04, 30,407.04 and 13,086

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Solution

The fourth proportional to 22,034.04, 30,407.04 and 13,086 is: 18,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.04 : 30,407.04 = 13,086 : x
  2. Step 2: Convert to fraction form
    22,034.04/30,407.04 = 13,086/x
  3. Step 3: Cross multiply
    22,034.04x = 30,407.04 × 13,086
  4. Step 4: Simplify right side
    22,034.04x = 397,906,525.44
  5. Step 5: Solve for x
    x = 397,906,525.44/22,034.04
  6. Step 6: Final answer
    x = 18,058.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.