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Finding the Fourth Proportional to 13,995.69, 20,994.14 and 5,225.82

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Solution

The fourth proportional to 13,995.69, 20,994.14 and 5,225.82 is: 7,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.69 : 20,994.14 = 5,225.82 : x
  2. Step 2: Convert to fraction form
    13,995.69/20,994.14 = 5,225.82/x
  3. Step 3: Cross multiply
    13,995.69x = 20,994.14 × 5,225.82
  4. Step 4: Simplify right side
    13,995.69x = 109,711,609.76
  5. Step 5: Solve for x
    x = 109,711,609.76/13,995.69
  6. Step 6: Final answer
    x = 7,838.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.