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Finding the Fourth Proportional to 22,905.60, 34,334.43 and 9,586.23

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Solution

The fourth proportional to 22,905.60, 34,334.43 and 9,586.23 is: 14,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.60 : 34,334.43 = 9,586.23 : x
  2. Step 2: Convert to fraction form
    22,905.60/34,334.43 = 9,586.23/x
  3. Step 3: Cross multiply
    22,905.60x = 34,334.43 × 9,586.23
  4. Step 4: Simplify right side
    22,905.60x = 329,137,706.95
  5. Step 5: Solve for x
    x = 329,137,706.95/22,905.60
  6. Step 6: Final answer
    x = 14,369.31

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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.