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Finding the Fourth Proportional to 16,780.29, 25,154 and 6,927.85

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Solution

The fourth proportional to 16,780.29, 25,154 and 6,927.85 is: 10,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.29 : 25,154 = 6,927.85 : x
  2. Step 2: Convert to fraction form
    16,780.29/25,154 = 6,927.85/x
  3. Step 3: Cross multiply
    16,780.29x = 25,154 × 6,927.85
  4. Step 4: Simplify right side
    16,780.29x = 174,263,138.90
  5. Step 5: Solve for x
    x = 174,263,138.90/16,780.29
  6. Step 6: Final answer
    x = 10,384.99

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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.