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Finding the Fourth Proportional to 14,176.53, 19,566.01 and 8,211.83

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Solution

The fourth proportional to 14,176.53, 19,566.01 and 8,211.83 is: 11,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.53 : 19,566.01 = 8,211.83 : x
  2. Step 2: Convert to fraction form
    14,176.53/19,566.01 = 8,211.83/x
  3. Step 3: Cross multiply
    14,176.53x = 19,566.01 × 8,211.83
  4. Step 4: Simplify right side
    14,176.53x = 160,672,747.90
  5. Step 5: Solve for x
    x = 160,672,747.90/14,176.53
  6. Step 6: Final answer
    x = 11,333.71

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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.