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Finding the Fourth Proportional to 16,250.41, 24,376.52 and 5,158

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Solution

The fourth proportional to 16,250.41, 24,376.52 and 5,158 is: 7,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250.41 : 24,376.52 = 5,158 : x
  2. Step 2: Convert to fraction form
    16,250.41/24,376.52 = 5,158/x
  3. Step 3: Cross multiply
    16,250.41x = 24,376.52 × 5,158
  4. Step 4: Simplify right side
    16,250.41x = 125,734,090.16
  5. Step 5: Solve for x
    x = 125,734,090.16/16,250.41
  6. Step 6: Final answer
    x = 7,737.29

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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.