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Finding the Fourth Proportional to 12,477.16, 18,709.46 and 4,154.21

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Solution

The fourth proportional to 12,477.16, 18,709.46 and 4,154.21 is: 6,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.16 : 18,709.46 = 4,154.21 : x
  2. Step 2: Convert to fraction form
    12,477.16/18,709.46 = 4,154.21/x
  3. Step 3: Cross multiply
    12,477.16x = 18,709.46 × 4,154.21
  4. Step 4: Simplify right side
    12,477.16x = 77,723,025.83
  5. Step 5: Solve for x
    x = 77,723,025.83/12,477.16
  6. Step 6: Final answer
    x = 6,229.22

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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.