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Finding the Fourth Proportional to 14,057.10, 19,398.48 and 7,769.46

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Solution

The fourth proportional to 14,057.10, 19,398.48 and 7,769.46 is: 10,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.10 : 19,398.48 = 7,769.46 : x
  2. Step 2: Convert to fraction form
    14,057.10/19,398.48 = 7,769.46/x
  3. Step 3: Cross multiply
    14,057.10x = 19,398.48 × 7,769.46
  4. Step 4: Simplify right side
    14,057.10x = 150,715,714.42
  5. Step 5: Solve for x
    x = 150,715,714.42/14,057.10
  6. Step 6: Final answer
    x = 10,721.68

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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.