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Finding the Fourth Proportional to 22,977.96, 34,463.70 and 7,393.56

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Solution

The fourth proportional to 22,977.96, 34,463.70 and 7,393.56 is: 11,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.96 : 34,463.70 = 7,393.56 : x
  2. Step 2: Convert to fraction form
    22,977.96/34,463.70 = 7,393.56/x
  3. Step 3: Cross multiply
    22,977.96x = 34,463.70 × 7,393.56
  4. Step 4: Simplify right side
    22,977.96x = 254,809,433.77
  5. Step 5: Solve for x
    x = 254,809,433.77/22,977.96
  6. Step 6: Final answer
    x = 11,089.30

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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.