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Finding the Fourth Proportional to 21,507.05, 32,244.17 and 9,812.09

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Solution

The fourth proportional to 21,507.05, 32,244.17 and 9,812.09 is: 14,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.05 : 32,244.17 = 9,812.09 : x
  2. Step 2: Convert to fraction form
    21,507.05/32,244.17 = 9,812.09/x
  3. Step 3: Cross multiply
    21,507.05x = 32,244.17 × 9,812.09
  4. Step 4: Simplify right side
    21,507.05x = 316,382,487.73
  5. Step 5: Solve for x
    x = 316,382,487.73/21,507.05
  6. Step 6: Final answer
    x = 14,710.64

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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.