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Finding the Fourth Proportional to 17,546.02, 24,214.94 and 9,994.71

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Solution

The fourth proportional to 17,546.02, 24,214.94 and 9,994.71 is: 13,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.02 : 24,214.94 = 9,994.71 : x
  2. Step 2: Convert to fraction form
    17,546.02/24,214.94 = 9,994.71/x
  3. Step 3: Cross multiply
    17,546.02x = 24,214.94 × 9,994.71
  4. Step 4: Simplify right side
    17,546.02x = 242,021,327.95
  5. Step 5: Solve for x
    x = 242,021,327.95/17,546.02
  6. Step 6: Final answer
    x = 13,793.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.