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Finding the Fourth Proportional to 16,166.16, 24,271.92 and 13,217.76

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Solution

The fourth proportional to 16,166.16, 24,271.92 and 13,217.76 is: 19,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.16 : 24,271.92 = 13,217.76 : x
  2. Step 2: Convert to fraction form
    16,166.16/24,271.92 = 13,217.76/x
  3. Step 3: Cross multiply
    16,166.16x = 24,271.92 × 13,217.76
  4. Step 4: Simplify right side
    16,166.16x = 320,820,413.30
  5. Step 5: Solve for x
    x = 320,820,413.30/16,166.16
  6. Step 6: Final answer
    x = 19,845.18

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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.