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Finding the Fourth Proportional to 15,741.29, 23,611.99 and 6,381.49

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Solution

The fourth proportional to 15,741.29, 23,611.99 and 6,381.49 is: 9,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.29 : 23,611.99 = 6,381.49 : x
  2. Step 2: Convert to fraction form
    15,741.29/23,611.99 = 6,381.49/x
  3. Step 3: Cross multiply
    15,741.29x = 23,611.99 × 6,381.49
  4. Step 4: Simplify right side
    15,741.29x = 150,679,678.07
  5. Step 5: Solve for x
    x = 150,679,678.07/15,741.29
  6. Step 6: Final answer
    x = 9,572.26

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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.