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Finding the Fourth Proportional to 19,541.28, 29,324.22 and 9,681.12

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Solution

The fourth proportional to 19,541.28, 29,324.22 and 9,681.12 is: 14,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.28 : 29,324.22 = 9,681.12 : x
  2. Step 2: Convert to fraction form
    19,541.28/29,324.22 = 9,681.12/x
  3. Step 3: Cross multiply
    19,541.28x = 29,324.22 × 9,681.12
  4. Step 4: Simplify right side
    19,541.28x = 283,891,292.73
  5. Step 5: Solve for x
    x = 283,891,292.73/19,541.28
  6. Step 6: Final answer
    x = 14,527.77

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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.