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Finding the Fourth Proportional to 16,214.86, 22,376.52 and 8,762.86

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Solution

The fourth proportional to 16,214.86, 22,376.52 and 8,762.86 is: 12,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.86 : 22,376.52 = 8,762.86 : x
  2. Step 2: Convert to fraction form
    16,214.86/22,376.52 = 8,762.86/x
  3. Step 3: Cross multiply
    16,214.86x = 22,376.52 × 8,762.86
  4. Step 4: Simplify right side
    16,214.86x = 196,082,312.05
  5. Step 5: Solve for x
    x = 196,082,312.05/16,214.86
  6. Step 6: Final answer
    x = 12,092.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.