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Finding the Fourth Proportional to 12,710.24, 19,064.14 and 7,777.34

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Solution

The fourth proportional to 12,710.24, 19,064.14 and 7,777.34 is: 11,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.24 : 19,064.14 = 7,777.34 : x
  2. Step 2: Convert to fraction form
    12,710.24/19,064.14 = 7,777.34/x
  3. Step 3: Cross multiply
    12,710.24x = 19,064.14 × 7,777.34
  4. Step 4: Simplify right side
    12,710.24x = 148,268,183.82
  5. Step 5: Solve for x
    x = 148,268,183.82/12,710.24
  6. Step 6: Final answer
    x = 11,665.26

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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.