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Finding the Fourth Proportional to 19,282.71, 28,934.96 and 8,894.46

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Solution

The fourth proportional to 19,282.71, 28,934.96 and 8,894.46 is: 13,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.71 : 28,934.96 = 8,894.46 : x
  2. Step 2: Convert to fraction form
    19,282.71/28,934.96 = 8,894.46/x
  3. Step 3: Cross multiply
    19,282.71x = 28,934.96 × 8,894.46
  4. Step 4: Simplify right side
    19,282.71x = 257,360,799.85
  5. Step 5: Solve for x
    x = 257,360,799.85/19,282.71
  6. Step 6: Final answer
    x = 13,346.71

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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.