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Finding the Fourth Proportional to 16,271.96, 24,410.82 and 6,140.12

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Solution

The fourth proportional to 16,271.96, 24,410.82 and 6,140.12 is: 9,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.96 : 24,410.82 = 6,140.12 : x
  2. Step 2: Convert to fraction form
    16,271.96/24,410.82 = 6,140.12/x
  3. Step 3: Cross multiply
    16,271.96x = 24,410.82 × 6,140.12
  4. Step 4: Simplify right side
    16,271.96x = 149,885,364.10
  5. Step 5: Solve for x
    x = 149,885,364.10/16,271.96
  6. Step 6: Final answer
    x = 9,211.27

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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.