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Finding the Fourth Proportional to 17,861.72, 24,649.24 and 9,903.92

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Solution

The fourth proportional to 17,861.72, 24,649.24 and 9,903.92 is: 13,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.72 : 24,649.24 = 9,903.92 : x
  2. Step 2: Convert to fraction form
    17,861.72/24,649.24 = 9,903.92/x
  3. Step 3: Cross multiply
    17,861.72x = 24,649.24 × 9,903.92
  4. Step 4: Simplify right side
    17,861.72x = 244,124,101.02
  5. Step 5: Solve for x
    x = 244,124,101.02/17,861.72
  6. Step 6: Final answer
    x = 13,667.45

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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.