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Finding the Fourth Proportional to 19,857.25, 29,785.83 and 5,066.08

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Solution

The fourth proportional to 19,857.25, 29,785.83 and 5,066.08 is: 7,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.25 : 29,785.83 = 5,066.08 : x
  2. Step 2: Convert to fraction form
    19,857.25/29,785.83 = 5,066.08/x
  3. Step 3: Cross multiply
    19,857.25x = 29,785.83 × 5,066.08
  4. Step 4: Simplify right side
    19,857.25x = 150,897,304.18
  5. Step 5: Solve for x
    x = 150,897,304.18/19,857.25
  6. Step 6: Final answer
    x = 7,599.10

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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.