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Finding the Fourth Proportional to 23,344.40, 32,214.02 and 13,271.46

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Solution

The fourth proportional to 23,344.40, 32,214.02 and 13,271.46 is: 18,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.40 : 32,214.02 = 13,271.46 : x
  2. Step 2: Convert to fraction form
    23,344.40/32,214.02 = 13,271.46/x
  3. Step 3: Cross multiply
    23,344.40x = 32,214.02 × 13,271.46
  4. Step 4: Simplify right side
    23,344.40x = 427,527,077.87
  5. Step 5: Solve for x
    x = 427,527,077.87/23,344.40
  6. Step 6: Final answer
    x = 18,313.90

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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.