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Finding the Fourth Proportional to 23,344.86, 32,214.60 and 13,271.88

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Solution

The fourth proportional to 23,344.86, 32,214.60 and 13,271.88 is: 18,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.86 : 32,214.60 = 13,271.88 : x
  2. Step 2: Convert to fraction form
    23,344.86/32,214.60 = 13,271.88/x
  3. Step 3: Cross multiply
    23,344.86x = 32,214.60 × 13,271.88
  4. Step 4: Simplify right side
    23,344.86x = 427,548,305.45
  5. Step 5: Solve for x
    x = 427,548,305.45/23,344.86
  6. Step 6: Final answer
    x = 18,314.45

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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.