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Finding the Fourth Proportional to 43,503.20, 65,257.28 and 12,336

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Solution

The fourth proportional to 43,503.20, 65,257.28 and 12,336 is: 18,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503.20 : 65,257.28 = 12,336 : x
  2. Step 2: Convert to fraction form
    43,503.20/65,257.28 = 12,336/x
  3. Step 3: Cross multiply
    43,503.20x = 65,257.28 × 12,336
  4. Step 4: Simplify right side
    43,503.20x = 805,013,806.08
  5. Step 5: Solve for x
    x = 805,013,806.08/43,503.20
  6. Step 6: Final answer
    x = 18,504.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.