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Finding the Fourth Proportional to 14,056.50, 19,397.97 and 7,769.28

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Solution

The fourth proportional to 14,056.50, 19,397.97 and 7,769.28 is: 10,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.50 : 19,397.97 = 7,769.28 : x
  2. Step 2: Convert to fraction form
    14,056.50/19,397.97 = 7,769.28/x
  3. Step 3: Cross multiply
    14,056.50x = 19,397.97 × 7,769.28
  4. Step 4: Simplify right side
    14,056.50x = 150,708,260.36
  5. Step 5: Solve for x
    x = 150,708,260.36/14,056.50
  6. Step 6: Final answer
    x = 10,721.61

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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.