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Finding the Fourth Proportional to 16,042.84, 22,138.98 and 8,969.08

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Solution

The fourth proportional to 16,042.84, 22,138.98 and 8,969.08 is: 12,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.84 : 22,138.98 = 8,969.08 : x
  2. Step 2: Convert to fraction form
    16,042.84/22,138.98 = 8,969.08/x
  3. Step 3: Cross multiply
    16,042.84x = 22,138.98 × 8,969.08
  4. Step 4: Simplify right side
    16,042.84x = 198,566,282.74
  5. Step 5: Solve for x
    x = 198,566,282.74/16,042.84
  6. Step 6: Final answer
    x = 12,377.25

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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.