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Finding the Fourth Proportional to 17,578.42, 24,232.97 and 12,533.87

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Solution

The fourth proportional to 17,578.42, 24,232.97 and 12,533.87 is: 17,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.42 : 24,232.97 = 12,533.87 : x
  2. Step 2: Convert to fraction form
    17,578.42/24,232.97 = 12,533.87/x
  3. Step 3: Cross multiply
    17,578.42x = 24,232.97 × 12,533.87
  4. Step 4: Simplify right side
    17,578.42x = 303,732,987.61
  5. Step 5: Solve for x
    x = 303,732,987.61/17,578.42
  6. Step 6: Final answer
    x = 17,278.74

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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.