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Finding the Fourth Proportional to 13,348.16, 20,034.30 and 7,113.38

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Solution

The fourth proportional to 13,348.16, 20,034.30 and 7,113.38 is: 10,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.16 : 20,034.30 = 7,113.38 : x
  2. Step 2: Convert to fraction form
    13,348.16/20,034.30 = 7,113.38/x
  3. Step 3: Cross multiply
    13,348.16x = 20,034.30 × 7,113.38
  4. Step 4: Simplify right side
    13,348.16x = 142,511,588.93
  5. Step 5: Solve for x
    x = 142,511,588.93/13,348.16
  6. Step 6: Final answer
    x = 10,676.50

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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.