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Finding the Fourth Proportional to 23,618.80, 35,425.86 and 8,036.20

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Solution

The fourth proportional to 23,618.80, 35,425.86 and 8,036.20 is: 12,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.80 : 35,425.86 = 8,036.20 : x
  2. Step 2: Convert to fraction form
    23,618.80/35,425.86 = 8,036.20/x
  3. Step 3: Cross multiply
    23,618.80x = 35,425.86 × 8,036.20
  4. Step 4: Simplify right side
    23,618.80x = 284,689,296.13
  5. Step 5: Solve for x
    x = 284,689,296.13/23,618.80
  6. Step 6: Final answer
    x = 12,053.50

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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.