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Finding the Fourth Proportional to 14,684.40, 20,264.56 and 7,970.14

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Solution

The fourth proportional to 14,684.40, 20,264.56 and 7,970.14 is: 10,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.40 : 20,264.56 = 7,970.14 : x
  2. Step 2: Convert to fraction form
    14,684.40/20,264.56 = 7,970.14/x
  3. Step 3: Cross multiply
    14,684.40x = 20,264.56 × 7,970.14
  4. Step 4: Simplify right side
    14,684.40x = 161,511,380.24
  5. Step 5: Solve for x
    x = 161,511,380.24/14,684.40
  6. Step 6: Final answer
    x = 10,998.84

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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.