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Finding the Fourth Proportional to 13,348.46, 20,034.75 and 7,113.74

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Solution

The fourth proportional to 13,348.46, 20,034.75 and 7,113.74 is: 10,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.46 : 20,034.75 = 7,113.74 : x
  2. Step 2: Convert to fraction form
    13,348.46/20,034.75 = 7,113.74/x
  3. Step 3: Cross multiply
    13,348.46x = 20,034.75 × 7,113.74
  4. Step 4: Simplify right side
    13,348.46x = 142,521,902.29
  5. Step 5: Solve for x
    x = 142,521,902.29/13,348.46
  6. Step 6: Final answer
    x = 10,677.03

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