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Finding the Fourth Proportional to 22,364.20, 33,538.20 and 9,031.60

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Solution

The fourth proportional to 22,364.20, 33,538.20 and 9,031.60 is: 13,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.20 : 33,538.20 = 9,031.60 : x
  2. Step 2: Convert to fraction form
    22,364.20/33,538.20 = 9,031.60/x
  3. Step 3: Cross multiply
    22,364.20x = 33,538.20 × 9,031.60
  4. Step 4: Simplify right side
    22,364.20x = 302,903,607.12
  5. Step 5: Solve for x
    x = 302,903,607.12/22,364.20
  6. Step 6: Final answer
    x = 13,544.13

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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.