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Finding the Fourth Proportional to 23,122.32, 34,683.46 and 9,797.41

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Solution

The fourth proportional to 23,122.32, 34,683.46 and 9,797.41 is: 14,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122.32 : 34,683.46 = 9,797.41 : x
  2. Step 2: Convert to fraction form
    23,122.32/34,683.46 = 9,797.41/x
  3. Step 3: Cross multiply
    23,122.32x = 34,683.46 × 9,797.41
  4. Step 4: Simplify right side
    23,122.32x = 339,808,077.84
  5. Step 5: Solve for x
    x = 339,808,077.84/23,122.32
  6. Step 6: Final answer
    x = 14,696.11

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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.