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Finding the Fourth Proportional to 23,411.80, 32,311.32 and 13,343.86

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Solution

The fourth proportional to 23,411.80, 32,311.32 and 13,343.86 is: 18,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.80 : 32,311.32 = 13,343.86 : x
  2. Step 2: Convert to fraction form
    23,411.80/32,311.32 = 13,343.86/x
  3. Step 3: Cross multiply
    23,411.80x = 32,311.32 × 13,343.86
  4. Step 4: Simplify right side
    23,411.80x = 431,157,730.50
  5. Step 5: Solve for x
    x = 431,157,730.50/23,411.80
  6. Step 6: Final answer
    x = 18,416.26

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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.