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Finding the Fourth Proportional to 12,424.68, 18,636.51 and 5,029.20

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Solution

The fourth proportional to 12,424.68, 18,636.51 and 5,029.20 is: 7,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.68 : 18,636.51 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    12,424.68/18,636.51 = 5,029.20/x
  3. Step 3: Cross multiply
    12,424.68x = 18,636.51 × 5,029.20
  4. Step 4: Simplify right side
    12,424.68x = 93,726,736.09
  5. Step 5: Solve for x
    x = 93,726,736.09/12,424.68
  6. Step 6: Final answer
    x = 7,543.59

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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.