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Finding the Fourth Proportional to 22,837.68, 34,251.66 and 7,251.66

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Solution

The fourth proportional to 22,837.68, 34,251.66 and 7,251.66 is: 10,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.68 : 34,251.66 = 7,251.66 : x
  2. Step 2: Convert to fraction form
    22,837.68/34,251.66 = 7,251.66/x
  3. Step 3: Cross multiply
    22,837.68x = 34,251.66 × 7,251.66
  4. Step 4: Simplify right side
    22,837.68x = 248,381,392.76
  5. Step 5: Solve for x
    x = 248,381,392.76/22,837.68
  6. Step 6: Final answer
    x = 10,875.95

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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.