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Finding the Fourth Proportional to 24,053.46, 36,083.78 and 7,412.10

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Solution

The fourth proportional to 24,053.46, 36,083.78 and 7,412.10 is: 11,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053.46 : 36,083.78 = 7,412.10 : x
  2. Step 2: Convert to fraction form
    24,053.46/36,083.78 = 7,412.10/x
  3. Step 3: Cross multiply
    24,053.46x = 36,083.78 × 7,412.10
  4. Step 4: Simplify right side
    24,053.46x = 267,456,585.74
  5. Step 5: Solve for x
    x = 267,456,585.74/24,053.46
  6. Step 6: Final answer
    x = 11,119.26

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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.