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Finding the Fourth Proportional to 16,275.39, 22,460.22 and 8,823.39

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Solution

The fourth proportional to 16,275.39, 22,460.22 and 8,823.39 is: 12,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.39 : 22,460.22 = 8,823.39 : x
  2. Step 2: Convert to fraction form
    16,275.39/22,460.22 = 8,823.39/x
  3. Step 3: Cross multiply
    16,275.39x = 22,460.22 × 8,823.39
  4. Step 4: Simplify right side
    16,275.39x = 198,175,280.55
  5. Step 5: Solve for x
    x = 198,175,280.55/16,275.39
  6. Step 6: Final answer
    x = 12,176.38

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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.