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Finding the Fourth Proportional to 16,198.86, 24,297.61 and 5,113.51

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Solution

The fourth proportional to 16,198.86, 24,297.61 and 5,113.51 is: 7,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.86 : 24,297.61 = 5,113.51 : x
  2. Step 2: Convert to fraction form
    16,198.86/24,297.61 = 5,113.51/x
  3. Step 3: Cross multiply
    16,198.86x = 24,297.61 × 5,113.51
  4. Step 4: Simplify right side
    16,198.86x = 124,246,071.71
  5. Step 5: Solve for x
    x = 124,246,071.71/16,198.86
  6. Step 6: Final answer
    x = 7,670.05

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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.