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Finding the Fourth Proportional to 23,202.88, 32,020.04 and 12,592.50

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Solution

The fourth proportional to 23,202.88, 32,020.04 and 12,592.50 is: 17,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.88 : 32,020.04 = 12,592.50 : x
  2. Step 2: Convert to fraction form
    23,202.88/32,020.04 = 12,592.50/x
  3. Step 3: Cross multiply
    23,202.88x = 32,020.04 × 12,592.50
  4. Step 4: Simplify right side
    23,202.88x = 403,212,353.70
  5. Step 5: Solve for x
    x = 403,212,353.70/23,202.88
  6. Step 6: Final answer
    x = 17,377.69

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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.