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Finding the Fourth Proportional to 16,646.28, 24,947.88 and 6,774

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Solution

The fourth proportional to 16,646.28, 24,947.88 and 6,774 is: 10,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.28 : 24,947.88 = 6,774 : x
  2. Step 2: Convert to fraction form
    16,646.28/24,947.88 = 6,774/x
  3. Step 3: Cross multiply
    16,646.28x = 24,947.88 × 6,774
  4. Step 4: Simplify right side
    16,646.28x = 168,996,939.12
  5. Step 5: Solve for x
    x = 168,996,939.12/16,646.28
  6. Step 6: Final answer
    x = 10,152.23

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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.