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Finding the Fourth Proportional to 12,255.48, 18,410.55 and 7,578.93

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Solution

The fourth proportional to 12,255.48, 18,410.55 and 7,578.93 is: 11,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.48 : 18,410.55 = 7,578.93 : x
  2. Step 2: Convert to fraction form
    12,255.48/18,410.55 = 7,578.93/x
  3. Step 3: Cross multiply
    12,255.48x = 18,410.55 × 7,578.93
  4. Step 4: Simplify right side
    12,255.48x = 139,532,269.71
  5. Step 5: Solve for x
    x = 139,532,269.71/12,255.48
  6. Step 6: Final answer
    x = 11,385.30

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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.