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Finding the Fourth Proportional to 12,137.86, 16,744.64 and 8,775.34

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Solution

The fourth proportional to 12,137.86, 16,744.64 and 8,775.34 is: 12,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.86 : 16,744.64 = 8,775.34 : x
  2. Step 2: Convert to fraction form
    12,137.86/16,744.64 = 8,775.34/x
  3. Step 3: Cross multiply
    12,137.86x = 16,744.64 × 8,775.34
  4. Step 4: Simplify right side
    12,137.86x = 146,939,909.18
  5. Step 5: Solve for x
    x = 146,939,909.18/12,137.86
  6. Step 6: Final answer
    x = 12,105.92

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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.