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Finding the Fourth Proportional to 14,065.21, 19,409.97 and 7,777.54

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Solution

The fourth proportional to 14,065.21, 19,409.97 and 7,777.54 is: 10,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.21 : 19,409.97 = 7,777.54 : x
  2. Step 2: Convert to fraction form
    14,065.21/19,409.97 = 7,777.54/x
  3. Step 3: Cross multiply
    14,065.21x = 19,409.97 × 7,777.54
  4. Step 4: Simplify right side
    14,065.21x = 150,961,818.07
  5. Step 5: Solve for x
    x = 150,961,818.07/14,065.21
  6. Step 6: Final answer
    x = 10,732.99

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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.