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Finding the Fourth Proportional to 14,518.40, 20,034.17 and 8,144.10

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Solution

The fourth proportional to 14,518.40, 20,034.17 and 8,144.10 is: 11,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.40 : 20,034.17 = 8,144.10 : x
  2. Step 2: Convert to fraction form
    14,518.40/20,034.17 = 8,144.10/x
  3. Step 3: Cross multiply
    14,518.40x = 20,034.17 × 8,144.10
  4. Step 4: Simplify right side
    14,518.40x = 163,160,304.26
  5. Step 5: Solve for x
    x = 163,160,304.26/14,518.40
  6. Step 6: Final answer
    x = 11,238.18

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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.