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Finding the Fourth Proportional to 23,901.48, 35,856.78 and 9,109.16

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Solution

The fourth proportional to 23,901.48, 35,856.78 and 9,109.16 is: 13,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.48 : 35,856.78 = 9,109.16 : x
  2. Step 2: Convert to fraction form
    23,901.48/35,856.78 = 9,109.16/x
  3. Step 3: Cross multiply
    23,901.48x = 35,856.78 × 9,109.16
  4. Step 4: Simplify right side
    23,901.48x = 326,625,067.12
  5. Step 5: Solve for x
    x = 326,625,067.12/23,901.48
  6. Step 6: Final answer
    x = 13,665.47

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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.