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Finding the Fourth Proportional to 24,114.96, 36,186 and 10,085.28

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Solution

The fourth proportional to 24,114.96, 36,186 and 10,085.28 is: 15,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.96 : 36,186 = 10,085.28 : x
  2. Step 2: Convert to fraction form
    24,114.96/36,186 = 10,085.28/x
  3. Step 3: Cross multiply
    24,114.96x = 36,186 × 10,085.28
  4. Step 4: Simplify right side
    24,114.96x = 364,945,942.08
  5. Step 5: Solve for x
    x = 364,945,942.08/24,114.96
  6. Step 6: Final answer
    x = 15,133.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.