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Finding the Fourth Proportional to 12,477.16, 18,715.32 and 3,712.12

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Solution

The fourth proportional to 12,477.16, 18,715.32 and 3,712.12 is: 5,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.16 : 18,715.32 = 3,712.12 : x
  2. Step 2: Convert to fraction form
    12,477.16/18,715.32 = 3,712.12/x
  3. Step 3: Cross multiply
    12,477.16x = 18,715.32 × 3,712.12
  4. Step 4: Simplify right side
    12,477.16x = 69,473,513.68
  5. Step 5: Solve for x
    x = 69,473,513.68/12,477.16
  6. Step 6: Final answer
    x = 5,568.06

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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.