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Finding the Fourth Proportional to 14,064.67, 19,409.16 and 7,777

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Solution

The fourth proportional to 14,064.67, 19,409.16 and 7,777 is: 10,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.67 : 19,409.16 = 7,777 : x
  2. Step 2: Convert to fraction form
    14,064.67/19,409.16 = 7,777/x
  3. Step 3: Cross multiply
    14,064.67x = 19,409.16 × 7,777
  4. Step 4: Simplify right side
    14,064.67x = 150,945,037.32
  5. Step 5: Solve for x
    x = 150,945,037.32/14,064.67
  6. Step 6: Final answer
    x = 10,732.21

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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.