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Finding the Fourth Proportional to 23,212.54, 32,033.96 and 12,602.86

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Solution

The fourth proportional to 23,212.54, 32,033.96 and 12,602.86 is: 17,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.54 : 32,033.96 = 12,602.86 : x
  2. Step 2: Convert to fraction form
    23,212.54/32,033.96 = 12,602.86/x
  3. Step 3: Cross multiply
    23,212.54x = 32,033.96 × 12,602.86
  4. Step 4: Simplify right side
    23,212.54x = 403,719,513.13
  5. Step 5: Solve for x
    x = 403,719,513.13/23,212.54
  6. Step 6: Final answer
    x = 17,392.30

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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.