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Finding the Fourth Proportional to 24,029.47, 36,061.22 and 8,448.31

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Solution

The fourth proportional to 24,029.47, 36,061.22 and 8,448.31 is: 12,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029.47 : 36,061.22 = 8,448.31 : x
  2. Step 2: Convert to fraction form
    24,029.47/36,061.22 = 8,448.31/x
  3. Step 3: Cross multiply
    24,029.47x = 36,061.22 × 8,448.31
  4. Step 4: Simplify right side
    24,029.47x = 304,656,365.54
  5. Step 5: Solve for x
    x = 304,656,365.54/24,029.47
  6. Step 6: Final answer
    x = 12,678.45

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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.