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Finding the Fourth Proportional to 21,275.46, 31,909.07 and 8,124.71

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Solution

The fourth proportional to 21,275.46, 31,909.07 and 8,124.71 is: 12,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275.46 : 31,909.07 = 8,124.71 : x
  2. Step 2: Convert to fraction form
    21,275.46/31,909.07 = 8,124.71/x
  3. Step 3: Cross multiply
    21,275.46x = 31,909.07 × 8,124.71
  4. Step 4: Simplify right side
    21,275.46x = 259,251,800.89
  5. Step 5: Solve for x
    x = 259,251,800.89/21,275.46
  6. Step 6: Final answer
    x = 12,185.49

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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.