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Finding the Fourth Proportional to 20,136, 30,182.40 and 9,724.80

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Solution

The fourth proportional to 20,136, 30,182.40 and 9,724.80 is: 14,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 30,182.40 = 9,724.80 : x
  2. Step 2: Convert to fraction form
    20,136/30,182.40 = 9,724.80/x
  3. Step 3: Cross multiply
    20,136x = 30,182.40 × 9,724.80
  4. Step 4: Simplify right side
    20,136x = 293,517,803.52
  5. Step 5: Solve for x
    x = 293,517,803.52/20,136
  6. Step 6: Final answer
    x = 14,576.77

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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.