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Finding the Fourth Proportional to 16,023.84, 22,113.12 and 8,950.08

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Solution

The fourth proportional to 16,023.84, 22,113.12 and 8,950.08 is: 12,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.84 : 22,113.12 = 8,950.08 : x
  2. Step 2: Convert to fraction form
    16,023.84/22,113.12 = 8,950.08/x
  3. Step 3: Cross multiply
    16,023.84x = 22,113.12 × 8,950.08
  4. Step 4: Simplify right side
    16,023.84x = 197,914,193.05
  5. Step 5: Solve for x
    x = 197,914,193.05/16,023.84
  6. Step 6: Final answer
    x = 12,351.23

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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.