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Finding the Fourth Proportional to 23,871.38, 32,942.52 and 13,262.00

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Solution

The fourth proportional to 23,871.38, 32,942.52 and 13,262.00 is: 18,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.38 : 32,942.52 = 13,262.00 : x
  2. Step 2: Convert to fraction form
    23,871.38/32,942.52 = 13,262.00/x
  3. Step 3: Cross multiply
    23,871.38x = 32,942.52 × 13,262.00
  4. Step 4: Simplify right side
    23,871.38x = 436,883,535.53
  5. Step 5: Solve for x
    x = 436,883,535.53/23,871.38
  6. Step 6: Final answer
    x = 18,301.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.