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Finding the Fourth Proportional to 16,211.62, 24,308.98 and 7,654.13

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Solution

The fourth proportional to 16,211.62, 24,308.98 and 7,654.13 is: 11,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.62 : 24,308.98 = 7,654.13 : x
  2. Step 2: Convert to fraction form
    16,211.62/24,308.98 = 7,654.13/x
  3. Step 3: Cross multiply
    16,211.62x = 24,308.98 × 7,654.13
  4. Step 4: Simplify right side
    16,211.62x = 186,064,093.09
  5. Step 5: Solve for x
    x = 186,064,093.09/16,211.62
  6. Step 6: Final answer
    x = 11,477.21

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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.