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Finding the Fourth Proportional to 16,306.84, 22,503.57 and 8,854.84

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Solution

The fourth proportional to 16,306.84, 22,503.57 and 8,854.84 is: 12,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.84 : 22,503.57 = 8,854.84 : x
  2. Step 2: Convert to fraction form
    16,306.84/22,503.57 = 8,854.84/x
  3. Step 3: Cross multiply
    16,306.84x = 22,503.57 × 8,854.84
  4. Step 4: Simplify right side
    16,306.84x = 199,265,511.78
  5. Step 5: Solve for x
    x = 199,265,511.78/16,306.84
  6. Step 6: Final answer
    x = 12,219.75

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1.5x scale

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.