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Finding the Fourth Proportional to 16,919.20, 23,348.96 and 9,467.20

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Solution

The fourth proportional to 16,919.20, 23,348.96 and 9,467.20 is: 13,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,919.20 : 23,348.96 = 9,467.20 : x
  2. Step 2: Convert to fraction form
    16,919.20/23,348.96 = 9,467.20/x
  3. Step 3: Cross multiply
    16,919.20x = 23,348.96 × 9,467.20
  4. Step 4: Simplify right side
    16,919.20x = 221,049,274.11
  5. Step 5: Solve for x
    x = 221,049,274.11/16,919.20
  6. Step 6: Final answer
    x = 13,065.00

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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.