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Finding the Fourth Proportional to 16,867.80, 25,302.09 and 5,774.40

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Solution

The fourth proportional to 16,867.80, 25,302.09 and 5,774.40 is: 8,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867.80 : 25,302.09 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    16,867.80/25,302.09 = 5,774.40/x
  3. Step 3: Cross multiply
    16,867.80x = 25,302.09 × 5,774.40
  4. Step 4: Simplify right side
    16,867.80x = 146,104,388.50
  5. Step 5: Solve for x
    x = 146,104,388.50/16,867.80
  6. Step 6: Final answer
    x = 8,661.73

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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.