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Finding the Fourth Proportional to 15,680.80, 21,640.64 and 10,366.40

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Solution

The fourth proportional to 15,680.80, 21,640.64 and 10,366.40 is: 14,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.80 : 21,640.64 = 10,366.40 : x
  2. Step 2: Convert to fraction form
    15,680.80/21,640.64 = 10,366.40/x
  3. Step 3: Cross multiply
    15,680.80x = 21,640.64 × 10,366.40
  4. Step 4: Simplify right side
    15,680.80x = 224,335,530.50
  5. Step 5: Solve for x
    x = 224,335,530.50/15,680.80
  6. Step 6: Final answer
    x = 14,306.38

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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.