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Finding the Fourth Proportional to 13,973.14, 20,965.64 and 6,577.44

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Solution

The fourth proportional to 13,973.14, 20,965.64 and 6,577.44 is: 9,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.14 : 20,965.64 = 6,577.44 : x
  2. Step 2: Convert to fraction form
    13,973.14/20,965.64 = 6,577.44/x
  3. Step 3: Cross multiply
    13,973.14x = 20,965.64 × 6,577.44
  4. Step 4: Simplify right side
    13,973.14x = 137,900,239.16
  5. Step 5: Solve for x
    x = 137,900,239.16/13,973.14
  6. Step 6: Final answer
    x = 9,868.95

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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.