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Finding the Fourth Proportional to 15,178.96, 20,948.34 and 9,212.14

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Solution

The fourth proportional to 15,178.96, 20,948.34 and 9,212.14 is: 12,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.96 : 20,948.34 = 9,212.14 : x
  2. Step 2: Convert to fraction form
    15,178.96/20,948.34 = 9,212.14/x
  3. Step 3: Cross multiply
    15,178.96x = 20,948.34 × 9,212.14
  4. Step 4: Simplify right side
    15,178.96x = 192,979,040.85
  5. Step 5: Solve for x
    x = 192,979,040.85/15,178.96
  6. Step 6: Final answer
    x = 12,713.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.