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Finding the Fourth Proportional to 24,009.41, 35,989.50 and 9,214.36

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Solution

The fourth proportional to 24,009.41, 35,989.50 and 9,214.36 is: 13,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.41 : 35,989.50 = 9,214.36 : x
  2. Step 2: Convert to fraction form
    24,009.41/35,989.50 = 9,214.36/x
  3. Step 3: Cross multiply
    24,009.41x = 35,989.50 × 9,214.36
  4. Step 4: Simplify right side
    24,009.41x = 331,620,209.22
  5. Step 5: Solve for x
    x = 331,620,209.22/24,009.41
  6. Step 6: Final answer
    x = 13,812.09

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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.