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Finding the Fourth Proportional to 23,871.64, 32,942.86 and 13,262.24

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Solution

The fourth proportional to 23,871.64, 32,942.86 and 13,262.24 is: 18,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.64 : 32,942.86 = 13,262.24 : x
  2. Step 2: Convert to fraction form
    23,871.64/32,942.86 = 13,262.24/x
  3. Step 3: Cross multiply
    23,871.64x = 32,942.86 × 13,262.24
  4. Step 4: Simplify right side
    23,871.64x = 436,896,115.61
  5. Step 5: Solve for x
    x = 436,896,115.61/23,871.64
  6. Step 6: Final answer
    x = 18,301.89

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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.