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Finding the Fourth Proportional to 15,640.71, 21,584.12 and 8,470.59

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Solution

The fourth proportional to 15,640.71, 21,584.12 and 8,470.59 is: 11,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.71 : 21,584.12 = 8,470.59 : x
  2. Step 2: Convert to fraction form
    15,640.71/21,584.12 = 8,470.59/x
  3. Step 3: Cross multiply
    15,640.71x = 21,584.12 × 8,470.59
  4. Step 4: Simplify right side
    15,640.71x = 182,830,188.68
  5. Step 5: Solve for x
    x = 182,830,188.68/15,640.71
  6. Step 6: Final answer
    x = 11,689.38

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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.