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Finding the Fourth Proportional to 16,522.90, 24,784.40 and 11,614.50

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Solution

The fourth proportional to 16,522.90, 24,784.40 and 11,614.50 is: 17,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.90 : 24,784.40 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    16,522.90/24,784.40 = 11,614.50/x
  3. Step 3: Cross multiply
    16,522.90x = 24,784.40 × 11,614.50
  4. Step 4: Simplify right side
    16,522.90x = 287,858,413.80
  5. Step 5: Solve for x
    x = 287,858,413.80/16,522.90
  6. Step 6: Final answer
    x = 17,421.79

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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.