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Finding the Fourth Proportional to 23,967.10, 35,950.74 and 7,327.08

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Solution

The fourth proportional to 23,967.10, 35,950.74 and 7,327.08 is: 10,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.10 : 35,950.74 = 7,327.08 : x
  2. Step 2: Convert to fraction form
    23,967.10/35,950.74 = 7,327.08/x
  3. Step 3: Cross multiply
    23,967.10x = 35,950.74 × 7,327.08
  4. Step 4: Simplify right side
    23,967.10x = 263,413,948.04
  5. Step 5: Solve for x
    x = 263,413,948.04/23,967.10
  6. Step 6: Final answer
    x = 10,990.65

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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.