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Finding the Fourth Proportional to 17,819.06, 26,710.95 and 8,442.50

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Solution

The fourth proportional to 17,819.06, 26,710.95 and 8,442.50 is: 12,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.06 : 26,710.95 = 8,442.50 : x
  2. Step 2: Convert to fraction form
    17,819.06/26,710.95 = 8,442.50/x
  3. Step 3: Cross multiply
    17,819.06x = 26,710.95 × 8,442.50
  4. Step 4: Simplify right side
    17,819.06x = 225,507,195.38
  5. Step 5: Solve for x
    x = 225,507,195.38/17,819.06
  6. Step 6: Final answer
    x = 12,655.39

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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.