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Finding the Fourth Proportional to 16,538.16, 24,806.88 and 7,768.20

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Solution

The fourth proportional to 16,538.16, 24,806.88 and 7,768.20 is: 11,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.16 : 24,806.88 = 7,768.20 : x
  2. Step 2: Convert to fraction form
    16,538.16/24,806.88 = 7,768.20/x
  3. Step 3: Cross multiply
    16,538.16x = 24,806.88 × 7,768.20
  4. Step 4: Simplify right side
    16,538.16x = 192,704,805.22
  5. Step 5: Solve for x
    x = 192,704,805.22/16,538.16
  6. Step 6: Final answer
    x = 11,652.13

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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.