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Finding the Fourth Proportional to 14,916.71, 20,585.36 and 8,202.62

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Solution

The fourth proportional to 14,916.71, 20,585.36 and 8,202.62 is: 11,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.71 : 20,585.36 = 8,202.62 : x
  2. Step 2: Convert to fraction form
    14,916.71/20,585.36 = 8,202.62/x
  3. Step 3: Cross multiply
    14,916.71x = 20,585.36 × 8,202.62
  4. Step 4: Simplify right side
    14,916.71x = 168,853,741.70
  5. Step 5: Solve for x
    x = 168,853,741.70/14,916.71
  6. Step 6: Final answer
    x = 11,319.77

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1.5x scale

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.