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Finding the Fourth Proportional to 14,179.68, 19,565.82 and 8,211.93

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Solution

The fourth proportional to 14,179.68, 19,565.82 and 8,211.93 is: 11,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.68 : 19,565.82 = 8,211.93 : x
  2. Step 2: Convert to fraction form
    14,179.68/19,565.82 = 8,211.93/x
  3. Step 3: Cross multiply
    14,179.68x = 19,565.82 × 8,211.93
  4. Step 4: Simplify right side
    14,179.68x = 160,673,144.23
  5. Step 5: Solve for x
    x = 160,673,144.23/14,179.68
  6. Step 6: Final answer
    x = 11,331.22

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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.