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Finding the Fourth Proportional to 16,475.67, 22,736.49 and 8,922.00

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Solution

The fourth proportional to 16,475.67, 22,736.49 and 8,922.00 is: 12,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.67 : 22,736.49 = 8,922.00 : x
  2. Step 2: Convert to fraction form
    16,475.67/22,736.49 = 8,922.00/x
  3. Step 3: Cross multiply
    16,475.67x = 22,736.49 × 8,922.00
  4. Step 4: Simplify right side
    16,475.67x = 202,855,015.58
  5. Step 5: Solve for x
    x = 202,855,015.58/16,475.67
  6. Step 6: Final answer
    x = 12,312.40

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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.