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Finding the Fourth Proportional to 23,361.81, 32,239.24 and 13,152.02

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Solution

The fourth proportional to 23,361.81, 32,239.24 and 13,152.02 is: 18,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.81 : 32,239.24 = 13,152.02 : x
  2. Step 2: Convert to fraction form
    23,361.81/32,239.24 = 13,152.02/x
  3. Step 3: Cross multiply
    23,361.81x = 32,239.24 × 13,152.02
  4. Step 4: Simplify right side
    23,361.81x = 424,010,935.19
  5. Step 5: Solve for x
    x = 424,010,935.19/23,361.81
  6. Step 6: Final answer
    x = 18,149.75

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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.