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Finding the Fourth Proportional to 15,072, 22,612.74 and 6,759

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Solution

The fourth proportional to 15,072, 22,612.74 and 6,759 is: 10,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 22,612.74 = 6,759 : x
  2. Step 2: Convert to fraction form
    15,072/22,612.74 = 6,759/x
  3. Step 3: Cross multiply
    15,072x = 22,612.74 × 6,759
  4. Step 4: Simplify right side
    15,072x = 152,839,509.66
  5. Step 5: Solve for x
    x = 152,839,509.66/15,072
  6. Step 6: Final answer
    x = 10,140.63

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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.