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Finding the Fourth Proportional to 23,296.65, 32,149.41 and 12,686.33

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Solution

The fourth proportional to 23,296.65, 32,149.41 and 12,686.33 is: 17,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.65 : 32,149.41 = 12,686.33 : x
  2. Step 2: Convert to fraction form
    23,296.65/32,149.41 = 12,686.33/x
  3. Step 3: Cross multiply
    23,296.65x = 32,149.41 × 12,686.33
  4. Step 4: Simplify right side
    23,296.65x = 407,857,863.82
  5. Step 5: Solve for x
    x = 407,857,863.82/23,296.65
  6. Step 6: Final answer
    x = 17,507.15

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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.