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Finding the Fourth Proportional to 22,343.60, 33,515.40 and 9,205.40

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Solution

The fourth proportional to 22,343.60, 33,515.40 and 9,205.40 is: 13,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.60 : 33,515.40 = 9,205.40 : x
  2. Step 2: Convert to fraction form
    22,343.60/33,515.40 = 9,205.40/x
  3. Step 3: Cross multiply
    22,343.60x = 33,515.40 × 9,205.40
  4. Step 4: Simplify right side
    22,343.60x = 308,522,663.16
  5. Step 5: Solve for x
    x = 308,522,663.16/22,343.60
  6. Step 6: Final answer
    x = 13,808.10

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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.