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Finding the Fourth Proportional to 23,290.71, 32,136.94 and 13,219.57

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Solution

The fourth proportional to 23,290.71, 32,136.94 and 13,219.57 is: 18,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.71 : 32,136.94 = 13,219.57 : x
  2. Step 2: Convert to fraction form
    23,290.71/32,136.94 = 13,219.57/x
  3. Step 3: Cross multiply
    23,290.71x = 32,136.94 × 13,219.57
  4. Step 4: Simplify right side
    23,290.71x = 424,836,527.92
  5. Step 5: Solve for x
    x = 424,836,527.92/23,290.71
  6. Step 6: Final answer
    x = 18,240.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.