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Finding the Fourth Proportional to 16,086.40, 24,136.80 and 7,316.80

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Solution

The fourth proportional to 16,086.40, 24,136.80 and 7,316.80 is: 10,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.40 : 24,136.80 = 7,316.80 : x
  2. Step 2: Convert to fraction form
    16,086.40/24,136.80 = 7,316.80/x
  3. Step 3: Cross multiply
    16,086.40x = 24,136.80 × 7,316.80
  4. Step 4: Simplify right side
    16,086.40x = 176,604,138.24
  5. Step 5: Solve for x
    x = 176,604,138.24/16,086.40
  6. Step 6: Final answer
    x = 10,978.47

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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.