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Finding the Fourth Proportional to 19,777.61, 27,293.14 and 10,825.68

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Solution

The fourth proportional to 19,777.61, 27,293.14 and 10,825.68 is: 14,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.61 : 27,293.14 = 10,825.68 : x
  2. Step 2: Convert to fraction form
    19,777.61/27,293.14 = 10,825.68/x
  3. Step 3: Cross multiply
    19,777.61x = 27,293.14 × 10,825.68
  4. Step 4: Simplify right side
    19,777.61x = 295,466,745.71
  5. Step 5: Solve for x
    x = 295,466,745.71/19,777.61
  6. Step 6: Final answer
    x = 14,939.46

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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.