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Finding the Fourth Proportional to 22,782.58, 34,186.62 and 9,644.78

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Solution

The fourth proportional to 22,782.58, 34,186.62 and 9,644.78 is: 14,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.58 : 34,186.62 = 9,644.78 : x
  2. Step 2: Convert to fraction form
    22,782.58/34,186.62 = 9,644.78/x
  3. Step 3: Cross multiply
    22,782.58x = 34,186.62 × 9,644.78
  4. Step 4: Simplify right side
    22,782.58x = 329,722,428.84
  5. Step 5: Solve for x
    x = 329,722,428.84/22,782.58
  6. Step 6: Final answer
    x = 14,472.57

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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.