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Finding the Fourth Proportional to 17,667.60, 24,380.16 and 10,113.90

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Solution

The fourth proportional to 17,667.60, 24,380.16 and 10,113.90 is: 13,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.60 : 24,380.16 = 10,113.90 : x
  2. Step 2: Convert to fraction form
    17,667.60/24,380.16 = 10,113.90/x
  3. Step 3: Cross multiply
    17,667.60x = 24,380.16 × 10,113.90
  4. Step 4: Simplify right side
    17,667.60x = 246,578,500.22
  5. Step 5: Solve for x
    x = 246,578,500.22/17,667.60
  6. Step 6: Final answer
    x = 13,956.54

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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.