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Finding the Fourth Proportional to 16,452.96, 24,689.16 and 6,072

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Solution

The fourth proportional to 16,452.96, 24,689.16 and 6,072 is: 9,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.96 : 24,689.16 = 6,072 : x
  2. Step 2: Convert to fraction form
    16,452.96/24,689.16 = 6,072/x
  3. Step 3: Cross multiply
    16,452.96x = 24,689.16 × 6,072
  4. Step 4: Simplify right side
    16,452.96x = 149,912,579.52
  5. Step 5: Solve for x
    x = 149,912,579.52/16,452.96
  6. Step 6: Final answer
    x = 9,111.59

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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.