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Finding the Fourth Proportional to 12,178.86, 16,805.98 and 7,142.21

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Solution

The fourth proportional to 12,178.86, 16,805.98 and 7,142.21 is: 9,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.86 : 16,805.98 = 7,142.21 : x
  2. Step 2: Convert to fraction form
    12,178.86/16,805.98 = 7,142.21/x
  3. Step 3: Cross multiply
    12,178.86x = 16,805.98 × 7,142.21
  4. Step 4: Simplify right side
    12,178.86x = 120,031,826.34
  5. Step 5: Solve for x
    x = 120,031,826.34/12,178.86
  6. Step 6: Final answer
    x = 9,855.76

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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.