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Finding the Fourth Proportional to 16,106.08, 24,131.76 and 7,790

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Solution

The fourth proportional to 16,106.08, 24,131.76 and 7,790 is: 11,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.08 : 24,131.76 = 7,790 : x
  2. Step 2: Convert to fraction form
    16,106.08/24,131.76 = 7,790/x
  3. Step 3: Cross multiply
    16,106.08x = 24,131.76 × 7,790
  4. Step 4: Simplify right side
    16,106.08x = 187,986,410.40
  5. Step 5: Solve for x
    x = 187,986,410.40/16,106.08
  6. Step 6: Final answer
    x = 11,671.77

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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.