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Finding the Fourth Proportional to 14,057.62, 19,400.72 and 7,771.20

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Solution

The fourth proportional to 14,057.62, 19,400.72 and 7,771.20 is: 10,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.62 : 19,400.72 = 7,771.20 : x
  2. Step 2: Convert to fraction form
    14,057.62/19,400.72 = 7,771.20/x
  3. Step 3: Cross multiply
    14,057.62x = 19,400.72 × 7,771.20
  4. Step 4: Simplify right side
    14,057.62x = 150,766,875.26
  5. Step 5: Solve for x
    x = 150,766,875.26/14,057.62
  6. Step 6: Final answer
    x = 10,724.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.