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Finding the Fourth Proportional to 14,057.22, 19,398.95 and 7,769.60

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Solution

The fourth proportional to 14,057.22, 19,398.95 and 7,769.60 is: 10,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.22 : 19,398.95 = 7,769.60 : x
  2. Step 2: Convert to fraction form
    14,057.22/19,398.95 = 7,769.60/x
  3. Step 3: Cross multiply
    14,057.22x = 19,398.95 × 7,769.60
  4. Step 4: Simplify right side
    14,057.22x = 150,721,946.08
  5. Step 5: Solve for x
    x = 150,721,946.08/14,057.22
  6. Step 6: Final answer
    x = 10,722.03

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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.