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Finding the Fourth Proportional to 14,120.70, 19,487.20 and 7,833.06

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Solution

The fourth proportional to 14,120.70, 19,487.20 and 7,833.06 is: 10,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.70 : 19,487.20 = 7,833.06 : x
  2. Step 2: Convert to fraction form
    14,120.70/19,487.20 = 7,833.06/x
  3. Step 3: Cross multiply
    14,120.70x = 19,487.20 × 7,833.06
  4. Step 4: Simplify right side
    14,120.70x = 152,644,406.83
  5. Step 5: Solve for x
    x = 152,644,406.83/14,120.70
  6. Step 6: Final answer
    x = 10,809.97

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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.