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Finding the Fourth Proportional to 16,566.76, 24,850.02 and 6,705.90

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Solution

The fourth proportional to 16,566.76, 24,850.02 and 6,705.90 is: 10,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.76 : 24,850.02 = 6,705.90 : x
  2. Step 2: Convert to fraction form
    16,566.76/24,850.02 = 6,705.90/x
  3. Step 3: Cross multiply
    16,566.76x = 24,850.02 × 6,705.90
  4. Step 4: Simplify right side
    16,566.76x = 166,641,749.12
  5. Step 5: Solve for x
    x = 166,641,749.12/16,566.76
  6. Step 6: Final answer
    x = 10,058.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.