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Finding the Fourth Proportional to 14,701.59, 20,288.25 and 8,414.01

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Solution

The fourth proportional to 14,701.59, 20,288.25 and 8,414.01 is: 11,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.59 : 20,288.25 = 8,414.01 : x
  2. Step 2: Convert to fraction form
    14,701.59/20,288.25 = 8,414.01/x
  3. Step 3: Cross multiply
    14,701.59x = 20,288.25 × 8,414.01
  4. Step 4: Simplify right side
    14,701.59x = 170,705,538.38
  5. Step 5: Solve for x
    x = 170,705,538.38/14,701.59
  6. Step 6: Final answer
    x = 11,611.37

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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.