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Finding the Fourth Proportional to 17,671.93, 24,388.82 and 9,715.70

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Solution

The fourth proportional to 17,671.93, 24,388.82 and 9,715.70 is: 13,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.93 : 24,388.82 = 9,715.70 : x
  2. Step 2: Convert to fraction form
    17,671.93/24,388.82 = 9,715.70/x
  3. Step 3: Cross multiply
    17,671.93x = 24,388.82 × 9,715.70
  4. Step 4: Simplify right side
    17,671.93x = 236,954,458.47
  5. Step 5: Solve for x
    x = 236,954,458.47/17,671.93
  6. Step 6: Final answer
    x = 13,408.52

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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.