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Finding the Fourth Proportional to 17,861.95, 24,649.49 and 9,904.00

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Solution

The fourth proportional to 17,861.95, 24,649.49 and 9,904.00 is: 13,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.95 : 24,649.49 = 9,904.00 : x
  2. Step 2: Convert to fraction form
    17,861.95/24,649.49 = 9,904.00/x
  3. Step 3: Cross multiply
    17,861.95x = 24,649.49 × 9,904.00
  4. Step 4: Simplify right side
    17,861.95x = 244,128,376.19
  5. Step 5: Solve for x
    x = 244,128,376.19/17,861.95
  6. Step 6: Final answer
    x = 13,667.51

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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.