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Finding the Fourth Proportional to 13,262.38, 18,302.50 and 7,294.48

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Solution

The fourth proportional to 13,262.38, 18,302.50 and 7,294.48 is: 10,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.38 : 18,302.50 = 7,294.48 : x
  2. Step 2: Convert to fraction form
    13,262.38/18,302.50 = 7,294.48/x
  3. Step 3: Cross multiply
    13,262.38x = 18,302.50 × 7,294.48
  4. Step 4: Simplify right side
    13,262.38x = 133,507,220.20
  5. Step 5: Solve for x
    x = 133,507,220.20/13,262.38
  6. Step 6: Final answer
    x = 10,066.61

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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.