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Finding the Fourth Proportional to 23,870.16, 35,843.22 and 19,701

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Solution

The fourth proportional to 23,870.16, 35,843.22 and 19,701 is: 29,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.16 : 35,843.22 = 19,701 : x
  2. Step 2: Convert to fraction form
    23,870.16/35,843.22 = 19,701/x
  3. Step 3: Cross multiply
    23,870.16x = 35,843.22 × 19,701
  4. Step 4: Simplify right side
    23,870.16x = 706,147,277.22
  5. Step 5: Solve for x
    x = 706,147,277.22/23,870.16
  6. Step 6: Final answer
    x = 29,582.85

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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.