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Finding the Fourth Proportional to 16,864.86, 23,272.30 and 9,309.98

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Solution

The fourth proportional to 16,864.86, 23,272.30 and 9,309.98 is: 12,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.86 : 23,272.30 = 9,309.98 : x
  2. Step 2: Convert to fraction form
    16,864.86/23,272.30 = 9,309.98/x
  3. Step 3: Cross multiply
    16,864.86x = 23,272.30 × 9,309.98
  4. Step 4: Simplify right side
    16,864.86x = 216,664,647.55
  5. Step 5: Solve for x
    x = 216,664,647.55/16,864.86
  6. Step 6: Final answer
    x = 12,847.11

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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.