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Finding the Fourth Proportional to 16,372.68, 24,554.16 and 5,982

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Solution

The fourth proportional to 16,372.68, 24,554.16 and 5,982 is: 8,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,372.68 : 24,554.16 = 5,982 : x
  2. Step 2: Convert to fraction form
    16,372.68/24,554.16 = 5,982/x
  3. Step 3: Cross multiply
    16,372.68x = 24,554.16 × 5,982
  4. Step 4: Simplify right side
    16,372.68x = 146,882,985.12
  5. Step 5: Solve for x
    x = 146,882,985.12/16,372.68
  6. Step 6: Final answer
    x = 8,971.22

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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.