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Finding the Fourth Proportional to 14,187.83, 19,578.50 and 8,221.42

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Solution

The fourth proportional to 14,187.83, 19,578.50 and 8,221.42 is: 11,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.83 : 19,578.50 = 8,221.42 : x
  2. Step 2: Convert to fraction form
    14,187.83/19,578.50 = 8,221.42/x
  3. Step 3: Cross multiply
    14,187.83x = 19,578.50 × 8,221.42
  4. Step 4: Simplify right side
    14,187.83x = 160,962,932.47
  5. Step 5: Solve for x
    x = 160,962,932.47/14,187.83
  6. Step 6: Final answer
    x = 11,345.15

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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.