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Finding the Fourth Proportional to 16,252.86, 24,376.80 and 5,158.10

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Solution

The fourth proportional to 16,252.86, 24,376.80 and 5,158.10 is: 7,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.86 : 24,376.80 = 5,158.10 : x
  2. Step 2: Convert to fraction form
    16,252.86/24,376.80 = 5,158.10/x
  3. Step 3: Cross multiply
    16,252.86x = 24,376.80 × 5,158.10
  4. Step 4: Simplify right side
    16,252.86x = 125,738,033.02
  5. Step 5: Solve for x
    x = 125,738,033.02/16,252.86
  6. Step 6: Final answer
    x = 7,736.36

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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.