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Finding the Fourth Proportional to 14,578.38, 20,119.19 and 8,290.76

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Solution

The fourth proportional to 14,578.38, 20,119.19 and 8,290.76 is: 11,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.38 : 20,119.19 = 8,290.76 : x
  2. Step 2: Convert to fraction form
    14,578.38/20,119.19 = 8,290.76/x
  3. Step 3: Cross multiply
    14,578.38x = 20,119.19 × 8,290.76
  4. Step 4: Simplify right side
    14,578.38x = 166,803,233.63
  5. Step 5: Solve for x
    x = 166,803,233.63/14,578.38
  6. Step 6: Final answer
    x = 11,441.82

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Why These Related Problems?

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