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Finding the Fourth Proportional to 12,678.20, 19,023.22 and 5,657.47

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Solution

The fourth proportional to 12,678.20, 19,023.22 and 5,657.47 is: 8,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.20 : 19,023.22 = 5,657.47 : x
  2. Step 2: Convert to fraction form
    12,678.20/19,023.22 = 5,657.47/x
  3. Step 3: Cross multiply
    12,678.20x = 19,023.22 × 5,657.47
  4. Step 4: Simplify right side
    12,678.20x = 107,623,296.45
  5. Step 5: Solve for x
    x = 107,623,296.45/12,678.20
  6. Step 6: Final answer
    x = 8,488.85

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