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Finding the Fourth Proportional to 15,844.66, 21,860.34 and 9,788.42

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Solution

The fourth proportional to 15,844.66, 21,860.34 and 9,788.42 is: 13,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.66 : 21,860.34 = 9,788.42 : x
  2. Step 2: Convert to fraction form
    15,844.66/21,860.34 = 9,788.42/x
  3. Step 3: Cross multiply
    15,844.66x = 21,860.34 × 9,788.42
  4. Step 4: Simplify right side
    15,844.66x = 213,978,189.26
  5. Step 5: Solve for x
    x = 213,978,189.26/15,844.66
  6. Step 6: Final answer
    x = 13,504.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.