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Finding the Fourth Proportional to 16,234.61, 24,352.77 and 5,140.44

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Solution

The fourth proportional to 16,234.61, 24,352.77 and 5,140.44 is: 7,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.61 : 24,352.77 = 5,140.44 : x
  2. Step 2: Convert to fraction form
    16,234.61/24,352.77 = 5,140.44/x
  3. Step 3: Cross multiply
    16,234.61x = 24,352.77 × 5,140.44
  4. Step 4: Simplify right side
    16,234.61x = 125,183,953.02
  5. Step 5: Solve for x
    x = 125,183,953.02/16,234.61
  6. Step 6: Final answer
    x = 7,710.93

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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.