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Finding the Fourth Proportional to 23,442.97, 35,164.19 and 9,406.57

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Solution

The fourth proportional to 23,442.97, 35,164.19 and 9,406.57 is: 14,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.97 : 35,164.19 = 9,406.57 : x
  2. Step 2: Convert to fraction form
    23,442.97/35,164.19 = 9,406.57/x
  3. Step 3: Cross multiply
    23,442.97x = 35,164.19 × 9,406.57
  4. Step 4: Simplify right side
    23,442.97x = 330,774,367.70
  5. Step 5: Solve for x
    x = 330,774,367.70/23,442.97
  6. Step 6: Final answer
    x = 14,109.75

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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.