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Finding the Fourth Proportional to 14,720.14, 20,314.14 and 8,006.20

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Solution

The fourth proportional to 14,720.14, 20,314.14 and 8,006.20 is: 11,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.14 : 20,314.14 = 8,006.20 : x
  2. Step 2: Convert to fraction form
    14,720.14/20,314.14 = 8,006.20/x
  3. Step 3: Cross multiply
    14,720.14x = 20,314.14 × 8,006.20
  4. Step 4: Simplify right side
    14,720.14x = 162,639,067.67
  5. Step 5: Solve for x
    x = 162,639,067.67/14,720.14
  6. Step 6: Final answer
    x = 11,048.74

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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.