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Finding the Fourth Proportional to 23,405.60, 32,299.52 and 12,795.20

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Solution

The fourth proportional to 23,405.60, 32,299.52 and 12,795.20 is: 17,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.60 : 32,299.52 = 12,795.20 : x
  2. Step 2: Convert to fraction form
    23,405.60/32,299.52 = 12,795.20/x
  3. Step 3: Cross multiply
    23,405.60x = 32,299.52 × 12,795.20
  4. Step 4: Simplify right side
    23,405.60x = 413,278,592.83
  5. Step 5: Solve for x
    x = 413,278,592.83/23,405.60
  6. Step 6: Final answer
    x = 17,657.26

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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.