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Finding the Fourth Proportional to 24,072.96, 36,083.42 and 10,029.22

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Solution

The fourth proportional to 24,072.96, 36,083.42 and 10,029.22 is: 15,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.96 : 36,083.42 = 10,029.22 : x
  2. Step 2: Convert to fraction form
    24,072.96/36,083.42 = 10,029.22/x
  3. Step 3: Cross multiply
    24,072.96x = 36,083.42 × 10,029.22
  4. Step 4: Simplify right side
    24,072.96x = 361,888,557.53
  5. Step 5: Solve for x
    x = 361,888,557.53/24,072.96
  6. Step 6: Final answer
    x = 15,032.99

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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.