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Finding the Fourth Proportional to 23,433.14, 32,337.74 and 12,822.78

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Solution

The fourth proportional to 23,433.14, 32,337.74 and 12,822.78 is: 17,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.14 : 32,337.74 = 12,822.78 : x
  2. Step 2: Convert to fraction form
    23,433.14/32,337.74 = 12,822.78/x
  3. Step 3: Cross multiply
    23,433.14x = 32,337.74 × 12,822.78
  4. Step 4: Simplify right side
    23,433.14x = 414,659,588.42
  5. Step 5: Solve for x
    x = 414,659,588.42/23,433.14
  6. Step 6: Final answer
    x = 17,695.43

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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.