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Finding the Fourth Proportional to 23,441.86, 32,343.37 and 13,366.63

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Solution

The fourth proportional to 23,441.86, 32,343.37 and 13,366.63 is: 18,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.86 : 32,343.37 = 13,366.63 : x
  2. Step 2: Convert to fraction form
    23,441.86/32,343.37 = 13,366.63/x
  3. Step 3: Cross multiply
    23,441.86x = 32,343.37 × 13,366.63
  4. Step 4: Simplify right side
    23,441.86x = 432,321,859.74
  5. Step 5: Solve for x
    x = 432,321,859.74/23,441.86
  6. Step 6: Final answer
    x = 18,442.30

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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.