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Finding the Fourth Proportional to 15,381.89, 23,046.86 and 9,446.41

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Solution

The fourth proportional to 15,381.89, 23,046.86 and 9,446.41 is: 14,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.89 : 23,046.86 = 9,446.41 : x
  2. Step 2: Convert to fraction form
    15,381.89/23,046.86 = 9,446.41/x
  3. Step 3: Cross multiply
    15,381.89x = 23,046.86 × 9,446.41
  4. Step 4: Simplify right side
    15,381.89x = 217,709,973.54
  5. Step 5: Solve for x
    x = 217,709,973.54/15,381.89
  6. Step 6: Final answer
    x = 14,153.66

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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.