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Finding the Fourth Proportional to 16,107.26, 24,149.95 and 7,780.25

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Solution

The fourth proportional to 16,107.26, 24,149.95 and 7,780.25 is: 11,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.26 : 24,149.95 = 7,780.25 : x
  2. Step 2: Convert to fraction form
    16,107.26/24,149.95 = 7,780.25/x
  3. Step 3: Cross multiply
    16,107.26x = 24,149.95 × 7,780.25
  4. Step 4: Simplify right side
    16,107.26x = 187,892,689.41
  5. Step 5: Solve for x
    x = 187,892,689.41/16,107.26
  6. Step 6: Final answer
    x = 11,665.10

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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.