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Finding the Fourth Proportional to 22,038.80, 33,082.85 and 14,657.72

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Solution

The fourth proportional to 22,038.80, 33,082.85 and 14,657.72 is: 22,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.80 : 33,082.85 = 14,657.72 : x
  2. Step 2: Convert to fraction form
    22,038.80/33,082.85 = 14,657.72/x
  3. Step 3: Cross multiply
    22,038.80x = 33,082.85 × 14,657.72
  4. Step 4: Simplify right side
    22,038.80x = 484,919,023.33
  5. Step 5: Solve for x
    x = 484,919,023.33/22,038.80
  6. Step 6: Final answer
    x = 22,002.97

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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.