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Finding the Fourth Proportional to 16,041.84, 22,138.56 and 8,967.84

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Solution

The fourth proportional to 16,041.84, 22,138.56 and 8,967.84 is: 12,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.84 : 22,138.56 = 8,967.84 : x
  2. Step 2: Convert to fraction form
    16,041.84/22,138.56 = 8,967.84/x
  3. Step 3: Cross multiply
    16,041.84x = 22,138.56 × 8,967.84
  4. Step 4: Simplify right side
    16,041.84x = 198,535,063.91
  5. Step 5: Solve for x
    x = 198,535,063.91/16,041.84
  6. Step 6: Final answer
    x = 12,376.08

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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.