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Finding the Fourth Proportional to 24,254.28, 36,378 and 6,723

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Solution

The fourth proportional to 24,254.28, 36,378 and 6,723 is: 10,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.28 : 36,378 = 6,723 : x
  2. Step 2: Convert to fraction form
    24,254.28/36,378 = 6,723/x
  3. Step 3: Cross multiply
    24,254.28x = 36,378 × 6,723
  4. Step 4: Simplify right side
    24,254.28x = 244,569,294
  5. Step 5: Solve for x
    x = 244,569,294/24,254.28
  6. Step 6: Final answer
    x = 10,083.55

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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.