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Finding the Fourth Proportional to 13,126.44, 18,114.57 and 7,158.22

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Solution

The fourth proportional to 13,126.44, 18,114.57 and 7,158.22 is: 9,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.44 : 18,114.57 = 7,158.22 : x
  2. Step 2: Convert to fraction form
    13,126.44/18,114.57 = 7,158.22/x
  3. Step 3: Cross multiply
    13,126.44x = 18,114.57 × 7,158.22
  4. Step 4: Simplify right side
    13,126.44x = 129,668,077.27
  5. Step 5: Solve for x
    x = 129,668,077.27/13,126.44
  6. Step 6: Final answer
    x = 9,878.39

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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.