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Finding the Fourth Proportional to 19,547.25, 29,320.87 and 7,857.73

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Solution

The fourth proportional to 19,547.25, 29,320.87 and 7,857.73 is: 11,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.25 : 29,320.87 = 7,857.73 : x
  2. Step 2: Convert to fraction form
    19,547.25/29,320.87 = 7,857.73/x
  3. Step 3: Cross multiply
    19,547.25x = 29,320.87 × 7,857.73
  4. Step 4: Simplify right side
    19,547.25x = 230,395,479.83
  5. Step 5: Solve for x
    x = 230,395,479.83/19,547.25
  6. Step 6: Final answer
    x = 11,786.59

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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.