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Finding the Fourth Proportional to 19,818.28, 29,711.04 and 9,283.16

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Solution

The fourth proportional to 19,818.28, 29,711.04 and 9,283.16 is: 13,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.28 : 29,711.04 = 9,283.16 : x
  2. Step 2: Convert to fraction form
    19,818.28/29,711.04 = 9,283.16/x
  3. Step 3: Cross multiply
    19,818.28x = 29,711.04 × 9,283.16
  4. Step 4: Simplify right side
    19,818.28x = 275,812,338.09
  5. Step 5: Solve for x
    x = 275,812,338.09/19,818.28
  6. Step 6: Final answer
    x = 13,917.07

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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.