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Finding the Fourth Proportional to 22,461.29, 33,704.12 and 9,322.67

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Solution

The fourth proportional to 22,461.29, 33,704.12 and 9,322.67 is: 13,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.29 : 33,704.12 = 9,322.67 : x
  2. Step 2: Convert to fraction form
    22,461.29/33,704.12 = 9,322.67/x
  3. Step 3: Cross multiply
    22,461.29x = 33,704.12 × 9,322.67
  4. Step 4: Simplify right side
    22,461.29x = 314,212,341.79
  5. Step 5: Solve for x
    x = 314,212,341.79/22,461.29
  6. Step 6: Final answer
    x = 13,989.06

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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.