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Finding the Fourth Proportional to 16,105.98, 24,145.98 and 6,878.46

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Solution

The fourth proportional to 16,105.98, 24,145.98 and 6,878.46 is: 10,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.98 : 24,145.98 = 6,878.46 : x
  2. Step 2: Convert to fraction form
    16,105.98/24,145.98 = 6,878.46/x
  3. Step 3: Cross multiply
    16,105.98x = 24,145.98 × 6,878.46
  4. Step 4: Simplify right side
    16,105.98x = 166,087,157.59
  5. Step 5: Solve for x
    x = 166,087,157.59/16,105.98
  6. Step 6: Final answer
    x = 10,312.14

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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.