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Finding the Fourth Proportional to 14,057.19, 19,398.93 and 7,769.57

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Solution

The fourth proportional to 14,057.19, 19,398.93 and 7,769.57 is: 10,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.19 : 19,398.93 = 7,769.57 : x
  2. Step 2: Convert to fraction form
    14,057.19/19,398.93 = 7,769.57/x
  3. Step 3: Cross multiply
    14,057.19x = 19,398.93 × 7,769.57
  4. Step 4: Simplify right side
    14,057.19x = 150,721,208.72
  5. Step 5: Solve for x
    x = 150,721,208.72/14,057.19
  6. Step 6: Final answer
    x = 10,722.00

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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.