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Finding the Fourth Proportional to 14,706.32, 20,294.40 and 7,991.88

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Solution

The fourth proportional to 14,706.32, 20,294.40 and 7,991.88 is: 11,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.32 : 20,294.40 = 7,991.88 : x
  2. Step 2: Convert to fraction form
    14,706.32/20,294.40 = 7,991.88/x
  3. Step 3: Cross multiply
    14,706.32x = 20,294.40 × 7,991.88
  4. Step 4: Simplify right side
    14,706.32x = 162,190,409.47
  5. Step 5: Solve for x
    x = 162,190,409.47/14,706.32
  6. Step 6: Final answer
    x = 11,028.62

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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.