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Finding the Fourth Proportional to 23,854.19, 35,781.62 and 7,214.36

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Solution

The fourth proportional to 23,854.19, 35,781.62 and 7,214.36 is: 10,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.19 : 35,781.62 = 7,214.36 : x
  2. Step 2: Convert to fraction form
    23,854.19/35,781.62 = 7,214.36/x
  3. Step 3: Cross multiply
    23,854.19x = 35,781.62 × 7,214.36
  4. Step 4: Simplify right side
    23,854.19x = 258,141,273.08
  5. Step 5: Solve for x
    x = 258,141,273.08/23,854.19
  6. Step 6: Final answer
    x = 10,821.63

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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.