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Finding the Fourth Proportional to 22,307.30, 33,432.60 and 9,144.80

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Solution

The fourth proportional to 22,307.30, 33,432.60 and 9,144.80 is: 13,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.30 : 33,432.60 = 9,144.80 : x
  2. Step 2: Convert to fraction form
    22,307.30/33,432.60 = 9,144.80/x
  3. Step 3: Cross multiply
    22,307.30x = 33,432.60 × 9,144.80
  4. Step 4: Simplify right side
    22,307.30x = 305,734,440.48
  5. Step 5: Solve for x
    x = 305,734,440.48/22,307.30
  6. Step 6: Final answer
    x = 13,705.58

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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.