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Finding the Fourth Proportional to 14,505.13, 20,017.47 and 8,217.46

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Solution

The fourth proportional to 14,505.13, 20,017.47 and 8,217.46 is: 11,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.13 : 20,017.47 = 8,217.46 : x
  2. Step 2: Convert to fraction form
    14,505.13/20,017.47 = 8,217.46/x
  3. Step 3: Cross multiply
    14,505.13x = 20,017.47 × 8,217.46
  4. Step 4: Simplify right side
    14,505.13x = 164,492,759.03
  5. Step 5: Solve for x
    x = 164,492,759.03/14,505.13
  6. Step 6: Final answer
    x = 11,340.32

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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.