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Finding the Fourth Proportional to 26,200.20, 39,302.58 and 7,479.90

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Solution

The fourth proportional to 26,200.20, 39,302.58 and 7,479.90 is: 11,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.20 : 39,302.58 = 7,479.90 : x
  2. Step 2: Convert to fraction form
    26,200.20/39,302.58 = 7,479.90/x
  3. Step 3: Cross multiply
    26,200.20x = 39,302.58 × 7,479.90
  4. Step 4: Simplify right side
    26,200.20x = 293,979,368.14
  5. Step 5: Solve for x
    x = 293,979,368.14/26,200.20
  6. Step 6: Final answer
    x = 11,220.50

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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.