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Finding the Fourth Proportional to 22,718.58, 34,073.76 and 6,919.83

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Solution

The fourth proportional to 22,718.58, 34,073.76 and 6,919.83 is: 10,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.58 : 34,073.76 = 6,919.83 : x
  2. Step 2: Convert to fraction form
    22,718.58/34,073.76 = 6,919.83/x
  3. Step 3: Cross multiply
    22,718.58x = 34,073.76 × 6,919.83
  4. Step 4: Simplify right side
    22,718.58x = 235,784,652.61
  5. Step 5: Solve for x
    x = 235,784,652.61/22,718.58
  6. Step 6: Final answer
    x = 10,378.50

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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.