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Finding the Fourth Proportional to 23,194.58, 32,008.52 and 13,122.82

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Solution

The fourth proportional to 23,194.58, 32,008.52 and 13,122.82 is: 18,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.58 : 32,008.52 = 13,122.82 : x
  2. Step 2: Convert to fraction form
    23,194.58/32,008.52 = 13,122.82/x
  3. Step 3: Cross multiply
    23,194.58x = 32,008.52 × 13,122.82
  4. Step 4: Simplify right side
    23,194.58x = 420,041,820.77
  5. Step 5: Solve for x
    x = 420,041,820.77/23,194.58
  6. Step 6: Final answer
    x = 18,109.48

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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.