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Finding the Fourth Proportional to 23,269.64, 32,112.42 and 12,659.72

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Solution

The fourth proportional to 23,269.64, 32,112.42 and 12,659.72 is: 17,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.64 : 32,112.42 = 12,659.72 : x
  2. Step 2: Convert to fraction form
    23,269.64/32,112.42 = 12,659.72/x
  3. Step 3: Cross multiply
    23,269.64x = 32,112.42 × 12,659.72
  4. Step 4: Simplify right side
    23,269.64x = 406,534,245.72
  5. Step 5: Solve for x
    x = 406,534,245.72/23,269.64
  6. Step 6: Final answer
    x = 17,470.59

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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.