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Finding the Fourth Proportional to 14,916.85, 20,585.33 and 8,202.91

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Solution

The fourth proportional to 14,916.85, 20,585.33 and 8,202.91 is: 11,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.85 : 20,585.33 = 8,202.91 : x
  2. Step 2: Convert to fraction form
    14,916.85/20,585.33 = 8,202.91/x
  3. Step 3: Cross multiply
    14,916.85x = 20,585.33 × 8,202.91
  4. Step 4: Simplify right side
    14,916.85x = 168,859,609.31
  5. Step 5: Solve for x
    x = 168,859,609.31/14,916.85
  6. Step 6: Final answer
    x = 11,320.06

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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.