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Finding the Fourth Proportional to 14,569.75, 20,106.19 and 8,282.13

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Solution

The fourth proportional to 14,569.75, 20,106.19 and 8,282.13 is: 11,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.75 : 20,106.19 = 8,282.13 : x
  2. Step 2: Convert to fraction form
    14,569.75/20,106.19 = 8,282.13/x
  3. Step 3: Cross multiply
    14,569.75x = 20,106.19 × 8,282.13
  4. Step 4: Simplify right side
    14,569.75x = 166,522,079.38
  5. Step 5: Solve for x
    x = 166,522,079.38/14,569.75
  6. Step 6: Final answer
    x = 11,429.30

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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.