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Finding the Fourth Proportional to 15,971.40, 23,968.44 and 7,213.68

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Solution

The fourth proportional to 15,971.40, 23,968.44 and 7,213.68 is: 10,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.40 : 23,968.44 = 7,213.68 : x
  2. Step 2: Convert to fraction form
    15,971.40/23,968.44 = 7,213.68/x
  3. Step 3: Cross multiply
    15,971.40x = 23,968.44 × 7,213.68
  4. Step 4: Simplify right side
    15,971.40x = 172,900,656.26
  5. Step 5: Solve for x
    x = 172,900,656.26/15,971.40
  6. Step 6: Final answer
    x = 10,825.64

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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.