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Finding the Fourth Proportional to 16,350.70, 24,469.35 and 9,781.60

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Solution

The fourth proportional to 16,350.70, 24,469.35 and 9,781.60 is: 14,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.70 : 24,469.35 = 9,781.60 : x
  2. Step 2: Convert to fraction form
    16,350.70/24,469.35 = 9,781.60/x
  3. Step 3: Cross multiply
    16,350.70x = 24,469.35 × 9,781.60
  4. Step 4: Simplify right side
    16,350.70x = 239,349,393.96
  5. Step 5: Solve for x
    x = 239,349,393.96/16,350.70
  6. Step 6: Final answer
    x = 14,638.48

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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.