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Finding the Fourth Proportional to 23,886, 35,829.08 and 7,246.17

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Solution

The fourth proportional to 23,886, 35,829.08 and 7,246.17 is: 10,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886 : 35,829.08 = 7,246.17 : x
  2. Step 2: Convert to fraction form
    23,886/35,829.08 = 7,246.17/x
  3. Step 3: Cross multiply
    23,886x = 35,829.08 × 7,246.17
  4. Step 4: Simplify right side
    23,886x = 259,623,568.39
  5. Step 5: Solve for x
    x = 259,623,568.39/23,886
  6. Step 6: Final answer
    x = 10,869.28

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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.