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Finding the Fourth Proportional to 12,410.70, 18,616.05 and 7,477.80

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Solution

The fourth proportional to 12,410.70, 18,616.05 and 7,477.80 is: 11,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.70 : 18,616.05 = 7,477.80 : x
  2. Step 2: Convert to fraction form
    12,410.70/18,616.05 = 7,477.80/x
  3. Step 3: Cross multiply
    12,410.70x = 18,616.05 × 7,477.80
  4. Step 4: Simplify right side
    12,410.70x = 139,207,098.69
  5. Step 5: Solve for x
    x = 139,207,098.69/12,410.70
  6. Step 6: Final answer
    x = 11,216.70

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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.