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Finding the Fourth Proportional to 23,296.64, 32,147.68 and 12,686.24

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Solution

The fourth proportional to 23,296.64, 32,147.68 and 12,686.24 is: 17,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.64 : 32,147.68 = 12,686.24 : x
  2. Step 2: Convert to fraction form
    23,296.64/32,147.68 = 12,686.24/x
  3. Step 3: Cross multiply
    23,296.64x = 32,147.68 × 12,686.24
  4. Step 4: Simplify right side
    23,296.64x = 407,833,183.92
  5. Step 5: Solve for x
    x = 407,833,183.92/23,296.64
  6. Step 6: Final answer
    x = 17,506.09

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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.