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Finding the Fourth Proportional to 16,278.90, 22,465.06 and 8,826.90

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Solution

The fourth proportional to 16,278.90, 22,465.06 and 8,826.90 is: 12,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.90 : 22,465.06 = 8,826.90 : x
  2. Step 2: Convert to fraction form
    16,278.90/22,465.06 = 8,826.90/x
  3. Step 3: Cross multiply
    16,278.90x = 22,465.06 × 8,826.90
  4. Step 4: Simplify right side
    16,278.90x = 198,296,838.11
  5. Step 5: Solve for x
    x = 198,296,838.11/16,278.90
  6. Step 6: Final answer
    x = 12,181.22

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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.