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Finding the Fourth Proportional to 12,275.74, 18,402.99 and 5,698.54

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Solution

The fourth proportional to 12,275.74, 18,402.99 and 5,698.54 is: 8,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.74 : 18,402.99 = 5,698.54 : x
  2. Step 2: Convert to fraction form
    12,275.74/18,402.99 = 5,698.54/x
  3. Step 3: Cross multiply
    12,275.74x = 18,402.99 × 5,698.54
  4. Step 4: Simplify right side
    12,275.74x = 104,870,174.63
  5. Step 5: Solve for x
    x = 104,870,174.63/12,275.74
  6. Step 6: Final answer
    x = 8,542.88

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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.