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Finding the Fourth Proportional to 17,065.80, 25,602.30 and 5,380.20

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Solution

The fourth proportional to 17,065.80, 25,602.30 and 5,380.20 is: 8,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.80 : 25,602.30 = 5,380.20 : x
  2. Step 2: Convert to fraction form
    17,065.80/25,602.30 = 5,380.20/x
  3. Step 3: Cross multiply
    17,065.80x = 25,602.30 × 5,380.20
  4. Step 4: Simplify right side
    17,065.80x = 137,745,494.46
  5. Step 5: Solve for x
    x = 137,745,494.46/17,065.80
  6. Step 6: Final answer
    x = 8,071.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.