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Finding the Fourth Proportional to 23,811.30, 35,772.03 and 14,954.22

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Solution

The fourth proportional to 23,811.30, 35,772.03 and 14,954.22 is: 22,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.30 : 35,772.03 = 14,954.22 : x
  2. Step 2: Convert to fraction form
    23,811.30/35,772.03 = 14,954.22/x
  3. Step 3: Cross multiply
    23,811.30x = 35,772.03 × 14,954.22
  4. Step 4: Simplify right side
    23,811.30x = 534,942,806.47
  5. Step 5: Solve for x
    x = 534,942,806.47/23,811.30
  6. Step 6: Final answer
    x = 22,465.92

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Why These Related Problems?

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