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Finding the Fourth Proportional to 23,317.31, 32,177.90 and 12,706.94

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Solution

The fourth proportional to 23,317.31, 32,177.90 and 12,706.94 is: 17,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.31 : 32,177.90 = 12,706.94 : x
  2. Step 2: Convert to fraction form
    23,317.31/32,177.90 = 12,706.94/x
  3. Step 3: Cross multiply
    23,317.31x = 32,177.90 × 12,706.94
  4. Step 4: Simplify right side
    23,317.31x = 408,882,756.84
  5. Step 5: Solve for x
    x = 408,882,756.84/23,317.31
  6. Step 6: Final answer
    x = 17,535.59

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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.