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Finding the Fourth Proportional to 23,347.34, 32,219.88 and 12,737.96

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Solution

The fourth proportional to 23,347.34, 32,219.88 and 12,737.96 is: 17,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.34 : 32,219.88 = 12,737.96 : x
  2. Step 2: Convert to fraction form
    23,347.34/32,219.88 = 12,737.96/x
  3. Step 3: Cross multiply
    23,347.34x = 32,219.88 × 12,737.96
  4. Step 4: Simplify right side
    23,347.34x = 410,415,542.64
  5. Step 5: Solve for x
    x = 410,415,542.64/23,347.34
  6. Step 6: Final answer
    x = 17,578.69

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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.