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Finding the Fourth Proportional to 15,451.57, 21,323.19 and 8,378

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Solution

The fourth proportional to 15,451.57, 21,323.19 and 8,378 is: 11,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,451.57 : 21,323.19 = 8,378 : x
  2. Step 2: Convert to fraction form
    15,451.57/21,323.19 = 8,378/x
  3. Step 3: Cross multiply
    15,451.57x = 21,323.19 × 8,378
  4. Step 4: Simplify right side
    15,451.57x = 178,645,685.82
  5. Step 5: Solve for x
    x = 178,645,685.82/15,451.57
  6. Step 6: Final answer
    x = 11,561.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.