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Finding the Fourth Proportional to 17,855.74, 24,641.22 and 9,898.30

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Solution

The fourth proportional to 17,855.74, 24,641.22 and 9,898.30 is: 13,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.74 : 24,641.22 = 9,898.30 : x
  2. Step 2: Convert to fraction form
    17,855.74/24,641.22 = 9,898.30/x
  3. Step 3: Cross multiply
    17,855.74x = 24,641.22 × 9,898.30
  4. Step 4: Simplify right side
    17,855.74x = 243,906,187.93
  5. Step 5: Solve for x
    x = 243,906,187.93/17,855.74
  6. Step 6: Final answer
    x = 13,659.82

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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.