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Finding the Fourth Proportional to 23,802.64, 32,847.72 and 13,192.44

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Solution

The fourth proportional to 23,802.64, 32,847.72 and 13,192.44 is: 18,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.64 : 32,847.72 = 13,192.44 : x
  2. Step 2: Convert to fraction form
    23,802.64/32,847.72 = 13,192.44/x
  3. Step 3: Cross multiply
    23,802.64x = 32,847.72 × 13,192.44
  4. Step 4: Simplify right side
    23,802.64x = 433,341,575.24
  5. Step 5: Solve for x
    x = 433,341,575.24/23,802.64
  6. Step 6: Final answer
    x = 18,205.61

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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.