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Finding the Fourth Proportional to 23,356.62, 32,232.09 and 12,746.34

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Solution

The fourth proportional to 23,356.62, 32,232.09 and 12,746.34 is: 17,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.62 : 32,232.09 = 12,746.34 : x
  2. Step 2: Convert to fraction form
    23,356.62/32,232.09 = 12,746.34/x
  3. Step 3: Cross multiply
    23,356.62x = 32,232.09 × 12,746.34
  4. Step 4: Simplify right side
    23,356.62x = 410,841,178.05
  5. Step 5: Solve for x
    x = 410,841,178.05/23,356.62
  6. Step 6: Final answer
    x = 17,589.92

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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.