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Finding the Fourth Proportional to 22,811.40, 34,202.30 and 9,660.20

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Solution

The fourth proportional to 22,811.40, 34,202.30 and 9,660.20 is: 14,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.40 : 34,202.30 = 9,660.20 : x
  2. Step 2: Convert to fraction form
    22,811.40/34,202.30 = 9,660.20/x
  3. Step 3: Cross multiply
    22,811.40x = 34,202.30 × 9,660.20
  4. Step 4: Simplify right side
    22,811.40x = 330,401,058.46
  5. Step 5: Solve for x
    x = 330,401,058.46/22,811.40
  6. Step 6: Final answer
    x = 14,484.03

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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.