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Finding the Fourth Proportional to 14,107.20, 21,148.65 and 7,181.70

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Solution

The fourth proportional to 14,107.20, 21,148.65 and 7,181.70 is: 10,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.20 : 21,148.65 = 7,181.70 : x
  2. Step 2: Convert to fraction form
    14,107.20/21,148.65 = 7,181.70/x
  3. Step 3: Cross multiply
    14,107.20x = 21,148.65 × 7,181.70
  4. Step 4: Simplify right side
    14,107.20x = 151,883,259.71
  5. Step 5: Solve for x
    x = 151,883,259.71/14,107.20
  6. Step 6: Final answer
    x = 10,766.36

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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.