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Finding the Fourth Proportional to 11,443.20, 15,981.60 and 11,443.20

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Solution

The fourth proportional to 11,443.20, 15,981.60 and 11,443.20 is: 15,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.20 : 15,981.60 = 11,443.20 : x
  2. Step 2: Convert to fraction form
    11,443.20/15,981.60 = 11,443.20/x
  3. Step 3: Cross multiply
    11,443.20x = 15,981.60 × 11,443.20
  4. Step 4: Simplify right side
    11,443.20x = 182,880,645.12
  5. Step 5: Solve for x
    x = 182,880,645.12/11,443.20
  6. Step 6: Final answer
    x = 15,981.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.