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Finding the Fourth Proportional to 13,158.42, 18,158.38 and 7,189.93

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Solution

The fourth proportional to 13,158.42, 18,158.38 and 7,189.93 is: 9,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.42 : 18,158.38 = 7,189.93 : x
  2. Step 2: Convert to fraction form
    13,158.42/18,158.38 = 7,189.93/x
  3. Step 3: Cross multiply
    13,158.42x = 18,158.38 × 7,189.93
  4. Step 4: Simplify right side
    13,158.42x = 130,557,481.11
  5. Step 5: Solve for x
    x = 130,557,481.11/13,158.42
  6. Step 6: Final answer
    x = 9,921.97

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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.