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Finding the Fourth Proportional to 23,309.82, 32,166.59 and 13,238.24

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Solution

The fourth proportional to 23,309.82, 32,166.59 and 13,238.24 is: 18,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.82 : 32,166.59 = 13,238.24 : x
  2. Step 2: Convert to fraction form
    23,309.82/32,166.59 = 13,238.24/x
  3. Step 3: Cross multiply
    23,309.82x = 32,166.59 × 13,238.24
  4. Step 4: Simplify right side
    23,309.82x = 425,828,811.38
  5. Step 5: Solve for x
    x = 425,828,811.38/23,309.82
  6. Step 6: Final answer
    x = 18,268.22

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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.