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Finding the Fourth Proportional to 12,885.86, 19,331.22 and 4,118.42

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Solution

The fourth proportional to 12,885.86, 19,331.22 and 4,118.42 is: 6,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.86 : 19,331.22 = 4,118.42 : x
  2. Step 2: Convert to fraction form
    12,885.86/19,331.22 = 4,118.42/x
  3. Step 3: Cross multiply
    12,885.86x = 19,331.22 × 4,118.42
  4. Step 4: Simplify right side
    12,885.86x = 79,614,083.07
  5. Step 5: Solve for x
    x = 79,614,083.07/12,885.86
  6. Step 6: Final answer
    x = 6,178.41

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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.