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Finding the Fourth Proportional to 17,578.29, 24,232.81 and 12,533.76

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Solution

The fourth proportional to 17,578.29, 24,232.81 and 12,533.76 is: 17,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.29 : 24,232.81 = 12,533.76 : x
  2. Step 2: Convert to fraction form
    17,578.29/24,232.81 = 12,533.76/x
  3. Step 3: Cross multiply
    17,578.29x = 24,232.81 × 12,533.76
  4. Step 4: Simplify right side
    17,578.29x = 303,728,224.67
  5. Step 5: Solve for x
    x = 303,728,224.67/17,578.29
  6. Step 6: Final answer
    x = 17,278.60

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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.