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Finding the Fourth Proportional to 24,234, 36,324.81 and 10,190.76

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Solution

The fourth proportional to 24,234, 36,324.81 and 10,190.76 is: 15,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234 : 36,324.81 = 10,190.76 : x
  2. Step 2: Convert to fraction form
    24,234/36,324.81 = 10,190.76/x
  3. Step 3: Cross multiply
    24,234x = 36,324.81 × 10,190.76
  4. Step 4: Simplify right side
    24,234x = 370,177,420.76
  5. Step 5: Solve for x
    x = 370,177,420.76/24,234
  6. Step 6: Final answer
    x = 15,275.13

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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.