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Finding the Fourth Proportional to 16,506.76, 24,761.22 and 4,819

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Solution

The fourth proportional to 16,506.76, 24,761.22 and 4,819 is: 7,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.76 : 24,761.22 = 4,819 : x
  2. Step 2: Convert to fraction form
    16,506.76/24,761.22 = 4,819/x
  3. Step 3: Cross multiply
    16,506.76x = 24,761.22 × 4,819
  4. Step 4: Simplify right side
    16,506.76x = 119,324,319.18
  5. Step 5: Solve for x
    x = 119,324,319.18/16,506.76
  6. Step 6: Final answer
    x = 7,228.82

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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.