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Finding the Fourth Proportional to 22,977.11, 34,444.11 and 8,946.14

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Solution

The fourth proportional to 22,977.11, 34,444.11 and 8,946.14 is: 13,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.11 : 34,444.11 = 8,946.14 : x
  2. Step 2: Convert to fraction form
    22,977.11/34,444.11 = 8,946.14/x
  3. Step 3: Cross multiply
    22,977.11x = 34,444.11 × 8,946.14
  4. Step 4: Simplify right side
    22,977.11x = 308,141,658.01
  5. Step 5: Solve for x
    x = 308,141,658.01/22,977.11
  6. Step 6: Final answer
    x = 13,410.81

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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.