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Finding the Fourth Proportional to 14,880.32, 20,535.04 and 8,166

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Solution

The fourth proportional to 14,880.32, 20,535.04 and 8,166 is: 11,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880.32 : 20,535.04 = 8,166 : x
  2. Step 2: Convert to fraction form
    14,880.32/20,535.04 = 8,166/x
  3. Step 3: Cross multiply
    14,880.32x = 20,535.04 × 8,166
  4. Step 4: Simplify right side
    14,880.32x = 167,689,136.64
  5. Step 5: Solve for x
    x = 167,689,136.64/14,880.32
  6. Step 6: Final answer
    x = 11,269.19

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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.