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Finding the Fourth Proportional to 13,402.91, 18,496.91 and 7,434.83

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Solution

The fourth proportional to 13,402.91, 18,496.91 and 7,434.83 is: 10,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.91 : 18,496.91 = 7,434.83 : x
  2. Step 2: Convert to fraction form
    13,402.91/18,496.91 = 7,434.83/x
  3. Step 3: Cross multiply
    13,402.91x = 18,496.91 × 7,434.83
  4. Step 4: Simplify right side
    13,402.91x = 137,521,381.38
  5. Step 5: Solve for x
    x = 137,521,381.38/13,402.91
  6. Step 6: Final answer
    x = 10,260.56

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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.