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Finding the Fourth Proportional to 13,982.70, 19,295.82 and 8,017.88

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Solution

The fourth proportional to 13,982.70, 19,295.82 and 8,017.88 is: 11,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.70 : 19,295.82 = 8,017.88 : x
  2. Step 2: Convert to fraction form
    13,982.70/19,295.82 = 8,017.88/x
  3. Step 3: Cross multiply
    13,982.70x = 19,295.82 × 8,017.88
  4. Step 4: Simplify right side
    13,982.70x = 154,711,569.26
  5. Step 5: Solve for x
    x = 154,711,569.26/13,982.70
  6. Step 6: Final answer
    x = 11,064.50

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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.