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Finding the Fourth Proportional to 14,523.95, 21,777.14 and 6,517.26

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Solution

The fourth proportional to 14,523.95, 21,777.14 and 6,517.26 is: 9,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.95 : 21,777.14 = 6,517.26 : x
  2. Step 2: Convert to fraction form
    14,523.95/21,777.14 = 6,517.26/x
  3. Step 3: Cross multiply
    14,523.95x = 21,777.14 × 6,517.26
  4. Step 4: Simplify right side
    14,523.95x = 141,927,250.85
  5. Step 5: Solve for x
    x = 141,927,250.85/14,523.95
  6. Step 6: Final answer
    x = 9,771.95

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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.