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Finding the Fourth Proportional to 16,473.84, 22,733.85 and 8,920.08

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Solution

The fourth proportional to 16,473.84, 22,733.85 and 8,920.08 is: 12,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.84 : 22,733.85 = 8,920.08 : x
  2. Step 2: Convert to fraction form
    16,473.84/22,733.85 = 8,920.08/x
  3. Step 3: Cross multiply
    16,473.84x = 22,733.85 × 8,920.08
  4. Step 4: Simplify right side
    16,473.84x = 202,787,760.71
  5. Step 5: Solve for x
    x = 202,787,760.71/16,473.84
  6. Step 6: Final answer
    x = 12,309.68

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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.