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Finding the Fourth Proportional to 22,378.10, 33,561.93 and 9,891.32

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Solution

The fourth proportional to 22,378.10, 33,561.93 and 9,891.32 is: 14,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.10 : 33,561.93 = 9,891.32 : x
  2. Step 2: Convert to fraction form
    22,378.10/33,561.93 = 9,891.32/x
  3. Step 3: Cross multiply
    22,378.10x = 33,561.93 × 9,891.32
  4. Step 4: Simplify right side
    22,378.10x = 331,971,621.64
  5. Step 5: Solve for x
    x = 331,971,621.64/22,378.10
  6. Step 6: Final answer
    x = 14,834.67

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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.