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Finding the Fourth Proportional to 21,522.57, 32,276.56 and 7,478.92

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Solution

The fourth proportional to 21,522.57, 32,276.56 and 7,478.92 is: 11,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.57 : 32,276.56 = 7,478.92 : x
  2. Step 2: Convert to fraction form
    21,522.57/32,276.56 = 7,478.92/x
  3. Step 3: Cross multiply
    21,522.57x = 32,276.56 × 7,478.92
  4. Step 4: Simplify right side
    21,522.57x = 241,393,810.12
  5. Step 5: Solve for x
    x = 241,393,810.12/21,522.57
  6. Step 6: Final answer
    x = 11,215.85

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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.