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Finding the Fourth Proportional to 23,296.68, 32,149.04 and 12,686.09

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Solution

The fourth proportional to 23,296.68, 32,149.04 and 12,686.09 is: 17,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.68 : 32,149.04 = 12,686.09 : x
  2. Step 2: Convert to fraction form
    23,296.68/32,149.04 = 12,686.09/x
  3. Step 3: Cross multiply
    23,296.68x = 32,149.04 × 12,686.09
  4. Step 4: Simplify right side
    23,296.68x = 407,845,390.68
  5. Step 5: Solve for x
    x = 407,845,390.68/23,296.68
  6. Step 6: Final answer
    x = 17,506.59

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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.