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Finding the Fourth Proportional to 22,765.73, 31,416.58 and 12,694.30

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Solution

The fourth proportional to 22,765.73, 31,416.58 and 12,694.30 is: 17,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.73 : 31,416.58 = 12,694.30 : x
  2. Step 2: Convert to fraction form
    22,765.73/31,416.58 = 12,694.30/x
  3. Step 3: Cross multiply
    22,765.73x = 31,416.58 × 12,694.30
  4. Step 4: Simplify right side
    22,765.73x = 398,811,381.22
  5. Step 5: Solve for x
    x = 398,811,381.22/22,765.73
  6. Step 6: Final answer
    x = 17,518.06

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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.