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Finding the Fourth Proportional to 21,455.46, 32,189.81 and 9,619.20

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Solution

The fourth proportional to 21,455.46, 32,189.81 and 9,619.20 is: 14,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.46 : 32,189.81 = 9,619.20 : x
  2. Step 2: Convert to fraction form
    21,455.46/32,189.81 = 9,619.20/x
  3. Step 3: Cross multiply
    21,455.46x = 32,189.81 × 9,619.20
  4. Step 4: Simplify right side
    21,455.46x = 309,640,172.26
  5. Step 5: Solve for x
    x = 309,640,172.26/21,455.46
  6. Step 6: Final answer
    x = 14,431.77

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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.