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Finding the Fourth Proportional to 16,029.78, 24,046.50 and 6,670.98

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Solution

The fourth proportional to 16,029.78, 24,046.50 and 6,670.98 is: 10,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.78 : 24,046.50 = 6,670.98 : x
  2. Step 2: Convert to fraction form
    16,029.78/24,046.50 = 6,670.98/x
  3. Step 3: Cross multiply
    16,029.78x = 24,046.50 × 6,670.98
  4. Step 4: Simplify right side
    16,029.78x = 160,413,720.57
  5. Step 5: Solve for x
    x = 160,413,720.57/16,029.78
  6. Step 6: Final answer
    x = 10,007.23

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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.