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Finding the Fourth Proportional to 16,120.82, 24,153.86 and 7,804.74

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Solution

The fourth proportional to 16,120.82, 24,153.86 and 7,804.74 is: 11,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.82 : 24,153.86 = 7,804.74 : x
  2. Step 2: Convert to fraction form
    16,120.82/24,153.86 = 7,804.74/x
  3. Step 3: Cross multiply
    16,120.82x = 24,153.86 × 7,804.74
  4. Step 4: Simplify right side
    16,120.82x = 188,514,597.30
  5. Step 5: Solve for x
    x = 188,514,597.30/16,120.82
  6. Step 6: Final answer
    x = 11,693.86

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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.