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Finding the Fourth Proportional to 16,186.80, 24,270.30 and 6,314.70

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Solution

The fourth proportional to 16,186.80, 24,270.30 and 6,314.70 is: 9,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.80 : 24,270.30 = 6,314.70 : x
  2. Step 2: Convert to fraction form
    16,186.80/24,270.30 = 6,314.70/x
  3. Step 3: Cross multiply
    16,186.80x = 24,270.30 × 6,314.70
  4. Step 4: Simplify right side
    16,186.80x = 153,259,663.41
  5. Step 5: Solve for x
    x = 153,259,663.41/16,186.80
  6. Step 6: Final answer
    x = 9,468.19

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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.