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Finding the Fourth Proportional to 14,914.08, 22,358.16 and 6,142.92

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Solution

The fourth proportional to 14,914.08, 22,358.16 and 6,142.92 is: 9,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.08 : 22,358.16 = 6,142.92 : x
  2. Step 2: Convert to fraction form
    14,914.08/22,358.16 = 6,142.92/x
  3. Step 3: Cross multiply
    14,914.08x = 22,358.16 × 6,142.92
  4. Step 4: Simplify right side
    14,914.08x = 137,344,388.23
  5. Step 5: Solve for x
    x = 137,344,388.23/14,914.08
  6. Step 6: Final answer
    x = 9,209.04

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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.