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Finding the Fourth Proportional to 16,084.26, 24,122.07 and 7,762.14

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Solution

The fourth proportional to 16,084.26, 24,122.07 and 7,762.14 is: 11,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.26 : 24,122.07 = 7,762.14 : x
  2. Step 2: Convert to fraction form
    16,084.26/24,122.07 = 7,762.14/x
  3. Step 3: Cross multiply
    16,084.26x = 24,122.07 × 7,762.14
  4. Step 4: Simplify right side
    16,084.26x = 187,238,884.43
  5. Step 5: Solve for x
    x = 187,238,884.43/16,084.26
  6. Step 6: Final answer
    x = 11,641.13

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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.