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Finding the Fourth Proportional to 24,094.57, 36,143.68 and 7,456.29

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Solution

The fourth proportional to 24,094.57, 36,143.68 and 7,456.29 is: 11,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.57 : 36,143.68 = 7,456.29 : x
  2. Step 2: Convert to fraction form
    24,094.57/36,143.68 = 7,456.29/x
  3. Step 3: Cross multiply
    24,094.57x = 36,143.68 × 7,456.29
  4. Step 4: Simplify right side
    24,094.57x = 269,497,579.03
  5. Step 5: Solve for x
    x = 269,497,579.03/24,094.57
  6. Step 6: Final answer
    x = 11,184.99

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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.