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Finding the Fourth Proportional to 23,074.35, 31,842.59 and 12,463.98

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Solution

The fourth proportional to 23,074.35, 31,842.59 and 12,463.98 is: 17,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.35 : 31,842.59 = 12,463.98 : x
  2. Step 2: Convert to fraction form
    23,074.35/31,842.59 = 12,463.98/x
  3. Step 3: Cross multiply
    23,074.35x = 31,842.59 × 12,463.98
  4. Step 4: Simplify right side
    23,074.35x = 396,885,404.91
  5. Step 5: Solve for x
    x = 396,885,404.91/23,074.35
  6. Step 6: Final answer
    x = 17,200.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.