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Finding the Fourth Proportional to 21,522.64, 32,284.60 and 9,202.64

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Solution

The fourth proportional to 21,522.64, 32,284.60 and 9,202.64 is: 13,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.64 : 32,284.60 = 9,202.64 : x
  2. Step 2: Convert to fraction form
    21,522.64/32,284.60 = 9,202.64/x
  3. Step 3: Cross multiply
    21,522.64x = 32,284.60 × 9,202.64
  4. Step 4: Simplify right side
    21,522.64x = 297,103,551.34
  5. Step 5: Solve for x
    x = 297,103,551.34/21,522.64
  6. Step 6: Final answer
    x = 13,804.23

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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.