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Finding the Fourth Proportional to 24,813.76, 37,237.20 and 9,232.96

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Solution

The fourth proportional to 24,813.76, 37,237.20 and 9,232.96 is: 13,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.76 : 37,237.20 = 9,232.96 : x
  2. Step 2: Convert to fraction form
    24,813.76/37,237.20 = 9,232.96/x
  3. Step 3: Cross multiply
    24,813.76x = 37,237.20 × 9,232.96
  4. Step 4: Simplify right side
    24,813.76x = 343,809,578.11
  5. Step 5: Solve for x
    x = 343,809,578.11/24,813.76
  6. Step 6: Final answer
    x = 13,855.60

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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.