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Finding the Fourth Proportional to 13,141.69, 18,134.90 and 7,475.91

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Solution

The fourth proportional to 13,141.69, 18,134.90 and 7,475.91 is: 10,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.69 : 18,134.90 = 7,475.91 : x
  2. Step 2: Convert to fraction form
    13,141.69/18,134.90 = 7,475.91/x
  3. Step 3: Cross multiply
    13,141.69x = 18,134.90 × 7,475.91
  4. Step 4: Simplify right side
    13,141.69x = 135,574,800.67
  5. Step 5: Solve for x
    x = 135,574,800.67/13,141.69
  6. Step 6: Final answer
    x = 10,316.39

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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.