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Finding the Fourth Proportional to 23,811.60, 35,721.92 and 9,581.20

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Solution

The fourth proportional to 23,811.60, 35,721.92 and 9,581.20 is: 14,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.60 : 35,721.92 = 9,581.20 : x
  2. Step 2: Convert to fraction form
    23,811.60/35,721.92 = 9,581.20/x
  3. Step 3: Cross multiply
    23,811.60x = 35,721.92 × 9,581.20
  4. Step 4: Simplify right side
    23,811.60x = 342,258,859.90
  5. Step 5: Solve for x
    x = 342,258,859.90/23,811.60
  6. Step 6: Final answer
    x = 14,373.62

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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.