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Finding the Fourth Proportional to 13,160.67, 18,158.74 and 7,494.31

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Solution

The fourth proportional to 13,160.67, 18,158.74 and 7,494.31 is: 10,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.67 : 18,158.74 = 7,494.31 : x
  2. Step 2: Convert to fraction form
    13,160.67/18,158.74 = 7,494.31/x
  3. Step 3: Cross multiply
    13,160.67x = 18,158.74 × 7,494.31
  4. Step 4: Simplify right side
    13,160.67x = 136,087,226.77
  5. Step 5: Solve for x
    x = 136,087,226.77/13,160.67
  6. Step 6: Final answer
    x = 10,340.45

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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.