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Finding the Fourth Proportional to 23,188.64, 32,000.22 and 12,578.28

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Solution

The fourth proportional to 23,188.64, 32,000.22 and 12,578.28 is: 17,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.64 : 32,000.22 = 12,578.28 : x
  2. Step 2: Convert to fraction form
    23,188.64/32,000.22 = 12,578.28/x
  3. Step 3: Cross multiply
    23,188.64x = 32,000.22 × 12,578.28
  4. Step 4: Simplify right side
    23,188.64x = 402,507,727.22
  5. Step 5: Solve for x
    x = 402,507,727.22/23,188.64
  6. Step 6: Final answer
    x = 17,357.97

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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.