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Finding the Fourth Proportional to 12,477.83, 18,716.54 and 3,712.82

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Solution

The fourth proportional to 12,477.83, 18,716.54 and 3,712.82 is: 5,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.83 : 18,716.54 = 3,712.82 : x
  2. Step 2: Convert to fraction form
    12,477.83/18,716.54 = 3,712.82/x
  3. Step 3: Cross multiply
    12,477.83x = 18,716.54 × 3,712.82
  4. Step 4: Simplify right side
    12,477.83x = 69,491,031.90
  5. Step 5: Solve for x
    x = 69,491,031.90/12,477.83
  6. Step 6: Final answer
    x = 5,569.16

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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.