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Finding the Fourth Proportional to 23,665.34, 32,657.72 and 12,910.34

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Solution

The fourth proportional to 23,665.34, 32,657.72 and 12,910.34 is: 17,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.34 : 32,657.72 = 12,910.34 : x
  2. Step 2: Convert to fraction form
    23,665.34/32,657.72 = 12,910.34/x
  3. Step 3: Cross multiply
    23,665.34x = 32,657.72 × 12,910.34
  4. Step 4: Simplify right side
    23,665.34x = 421,622,268.82
  5. Step 5: Solve for x
    x = 421,622,268.82/23,665.34
  6. Step 6: Final answer
    x = 17,816.02

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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.