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Finding the Fourth Proportional to 22,782.96, 34,154.10 and 12,258.63

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Solution

The fourth proportional to 22,782.96, 34,154.10 and 12,258.63 is: 18,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.96 : 34,154.10 = 12,258.63 : x
  2. Step 2: Convert to fraction form
    22,782.96/34,154.10 = 12,258.63/x
  3. Step 3: Cross multiply
    22,782.96x = 34,154.10 × 12,258.63
  4. Step 4: Simplify right side
    22,782.96x = 418,682,474.88
  5. Step 5: Solve for x
    x = 418,682,474.88/22,782.96
  6. Step 6: Final answer
    x = 18,377.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.