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Finding the Fourth Proportional to 16,538.16, 24,806.92 and 4,851.12

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Solution

The fourth proportional to 16,538.16, 24,806.92 and 4,851.12 is: 7,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.16 : 24,806.92 = 4,851.12 : x
  2. Step 2: Convert to fraction form
    16,538.16/24,806.92 = 4,851.12/x
  3. Step 3: Cross multiply
    16,538.16x = 24,806.92 × 4,851.12
  4. Step 4: Simplify right side
    16,538.16x = 120,341,345.75
  5. Step 5: Solve for x
    x = 120,341,345.75/16,538.16
  6. Step 6: Final answer
    x = 7,276.59

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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.