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Finding the Fourth Proportional to 15,206.76, 20,990.34 and 8,919

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Solution

The fourth proportional to 15,206.76, 20,990.34 and 8,919 is: 12,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.76 : 20,990.34 = 8,919 : x
  2. Step 2: Convert to fraction form
    15,206.76/20,990.34 = 8,919/x
  3. Step 3: Cross multiply
    15,206.76x = 20,990.34 × 8,919
  4. Step 4: Simplify right side
    15,206.76x = 187,212,842.46
  5. Step 5: Solve for x
    x = 187,212,842.46/15,206.76
  6. Step 6: Final answer
    x = 12,311.16

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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.