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Finding the Fourth Proportional to 23,773.74, 32,805.48 and 13,162.98

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Solution

The fourth proportional to 23,773.74, 32,805.48 and 13,162.98 is: 18,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.74 : 32,805.48 = 13,162.98 : x
  2. Step 2: Convert to fraction form
    23,773.74/32,805.48 = 13,162.98/x
  3. Step 3: Cross multiply
    23,773.74x = 32,805.48 × 13,162.98
  4. Step 4: Simplify right side
    23,773.74x = 431,817,877.13
  5. Step 5: Solve for x
    x = 431,817,877.13/23,773.74
  6. Step 6: Final answer
    x = 18,163.65

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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.