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Finding the Fourth Proportional to 16,666.32, 24,977.84 and 6,794

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Solution

The fourth proportional to 16,666.32, 24,977.84 and 6,794 is: 10,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.32 : 24,977.84 = 6,794 : x
  2. Step 2: Convert to fraction form
    16,666.32/24,977.84 = 6,794/x
  3. Step 3: Cross multiply
    16,666.32x = 24,977.84 × 6,794
  4. Step 4: Simplify right side
    16,666.32x = 169,699,444.96
  5. Step 5: Solve for x
    x = 169,699,444.96/16,666.32
  6. Step 6: Final answer
    x = 10,182.18

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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.