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Finding the Fourth Proportional to 16,680.51, 23,019 and 9,126.70

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Solution

The fourth proportional to 16,680.51, 23,019 and 9,126.70 is: 12,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.51 : 23,019 = 9,126.70 : x
  2. Step 2: Convert to fraction form
    16,680.51/23,019 = 9,126.70/x
  3. Step 3: Cross multiply
    16,680.51x = 23,019 × 9,126.70
  4. Step 4: Simplify right side
    16,680.51x = 210,087,449.75
  5. Step 5: Solve for x
    x = 210,087,449.75/16,680.51
  6. Step 6: Final answer
    x = 12,594.79

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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.