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Finding the Fourth Proportional to 21,652.25, 32,453.60 and 9,815.04

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Solution

The fourth proportional to 21,652.25, 32,453.60 and 9,815.04 is: 14,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.25 : 32,453.60 = 9,815.04 : x
  2. Step 2: Convert to fraction form
    21,652.25/32,453.60 = 9,815.04/x
  3. Step 3: Cross multiply
    21,652.25x = 32,453.60 × 9,815.04
  4. Step 4: Simplify right side
    21,652.25x = 318,533,333.07
  5. Step 5: Solve for x
    x = 318,533,333.07/21,652.25
  6. Step 6: Final answer
    x = 14,711.33

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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.