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Finding the Fourth Proportional to 23,886.05, 35,829.14 and 7,246.22

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Solution

The fourth proportional to 23,886.05, 35,829.14 and 7,246.22 is: 10,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.05 : 35,829.14 = 7,246.22 : x
  2. Step 2: Convert to fraction form
    23,886.05/35,829.14 = 7,246.22/x
  3. Step 3: Cross multiply
    23,886.05x = 35,829.14 × 7,246.22
  4. Step 4: Simplify right side
    23,886.05x = 259,625,615.47
  5. Step 5: Solve for x
    x = 259,625,615.47/23,886.05
  6. Step 6: Final answer
    x = 10,869.34

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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.