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Finding the Fourth Proportional to 22,776.90, 34,142.30 and 9,431.48

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Solution

The fourth proportional to 22,776.90, 34,142.30 and 9,431.48 is: 14,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.90 : 34,142.30 = 9,431.48 : x
  2. Step 2: Convert to fraction form
    22,776.90/34,142.30 = 9,431.48/x
  3. Step 3: Cross multiply
    22,776.90x = 34,142.30 × 9,431.48
  4. Step 4: Simplify right side
    22,776.90x = 322,012,419.60
  5. Step 5: Solve for x
    x = 322,012,419.60/22,776.90
  6. Step 6: Final answer
    x = 14,137.68

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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.