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Finding the Fourth Proportional to 14,914.32, 22,355.08 and 6,144.44

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Solution

The fourth proportional to 14,914.32, 22,355.08 and 6,144.44 is: 9,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.32 : 22,355.08 = 6,144.44 : x
  2. Step 2: Convert to fraction form
    14,914.32/22,355.08 = 6,144.44/x
  3. Step 3: Cross multiply
    14,914.32x = 22,355.08 × 6,144.44
  4. Step 4: Simplify right side
    14,914.32x = 137,359,447.76
  5. Step 5: Solve for x
    x = 137,359,447.76/14,914.32
  6. Step 6: Final answer
    x = 9,209.90

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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.