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Finding the Fourth Proportional to 12,013.38, 18,007.31 and 7,085.34

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Solution

The fourth proportional to 12,013.38, 18,007.31 and 7,085.34 is: 10,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.38 : 18,007.31 = 7,085.34 : x
  2. Step 2: Convert to fraction form
    12,013.38/18,007.31 = 7,085.34/x
  3. Step 3: Cross multiply
    12,013.38x = 18,007.31 × 7,085.34
  4. Step 4: Simplify right side
    12,013.38x = 127,587,931.55
  5. Step 5: Solve for x
    x = 127,587,931.55/12,013.38
  6. Step 6: Final answer
    x = 10,620.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.