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Finding the Fourth Proportional to 19,912.47, 29,882.13 and 8,225.64

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Solution

The fourth proportional to 19,912.47, 29,882.13 and 8,225.64 is: 12,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.47 : 29,882.13 = 8,225.64 : x
  2. Step 2: Convert to fraction form
    19,912.47/29,882.13 = 8,225.64/x
  3. Step 3: Cross multiply
    19,912.47x = 29,882.13 × 8,225.64
  4. Step 4: Simplify right side
    19,912.47x = 245,799,643.81
  5. Step 5: Solve for x
    x = 245,799,643.81/19,912.47
  6. Step 6: Final answer
    x = 12,344.01

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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.