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Finding the Fourth Proportional to 23,251.77, 32,033.21 and 16,165.89

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Solution

The fourth proportional to 23,251.77, 32,033.21 and 16,165.89 is: 22,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.77 : 32,033.21 = 16,165.89 : x
  2. Step 2: Convert to fraction form
    23,251.77/32,033.21 = 16,165.89/x
  3. Step 3: Cross multiply
    23,251.77x = 32,033.21 × 16,165.89
  4. Step 4: Simplify right side
    23,251.77x = 517,845,268.38
  5. Step 5: Solve for x
    x = 517,845,268.38/23,251.77
  6. Step 6: Final answer
    x = 22,271.22

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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.