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Finding the Fourth Proportional to 24,009.15, 35,989.12 and 9,214.10

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Solution

The fourth proportional to 24,009.15, 35,989.12 and 9,214.10 is: 13,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.15 : 35,989.12 = 9,214.10 : x
  2. Step 2: Convert to fraction form
    24,009.15/35,989.12 = 9,214.10/x
  3. Step 3: Cross multiply
    24,009.15x = 35,989.12 × 9,214.10
  4. Step 4: Simplify right side
    24,009.15x = 331,607,350.59
  5. Step 5: Solve for x
    x = 331,607,350.59/24,009.15
  6. Step 6: Final answer
    x = 13,811.71

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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.