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Finding the Fourth Proportional to 13,015.42, 19,533.16 and 6,777

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Solution

The fourth proportional to 13,015.42, 19,533.16 and 6,777 is: 10,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.42 : 19,533.16 = 6,777 : x
  2. Step 2: Convert to fraction form
    13,015.42/19,533.16 = 6,777/x
  3. Step 3: Cross multiply
    13,015.42x = 19,533.16 × 6,777
  4. Step 4: Simplify right side
    13,015.42x = 132,376,208.38
  5. Step 5: Solve for x
    x = 132,376,208.38/13,015.42
  6. Step 6: Final answer
    x = 10,170.72

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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.