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Finding the Fourth Proportional to 23,347.98, 32,220.30 and 12,737.84

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Solution

The fourth proportional to 23,347.98, 32,220.30 and 12,737.84 is: 17,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.98 : 32,220.30 = 12,737.84 : x
  2. Step 2: Convert to fraction form
    23,347.98/32,220.30 = 12,737.84/x
  3. Step 3: Cross multiply
    23,347.98x = 32,220.30 × 12,737.84
  4. Step 4: Simplify right side
    23,347.98x = 410,416,865.05
  5. Step 5: Solve for x
    x = 410,416,865.05/23,347.98
  6. Step 6: Final answer
    x = 17,578.26

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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.