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Finding the Fourth Proportional to 12,477.18, 18,715.74 and 3,712.08

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Solution

The fourth proportional to 12,477.18, 18,715.74 and 3,712.08 is: 5,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.18 : 18,715.74 = 3,712.08 : x
  2. Step 2: Convert to fraction form
    12,477.18/18,715.74 = 3,712.08/x
  3. Step 3: Cross multiply
    12,477.18x = 18,715.74 × 3,712.08
  4. Step 4: Simplify right side
    12,477.18x = 69,474,324.14
  5. Step 5: Solve for x
    x = 69,474,324.14/12,477.18
  6. Step 6: Final answer
    x = 5,568.11

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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.