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Finding the Fourth Proportional to 13,113.25, 19,665.24 and 4,228.22

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Solution

The fourth proportional to 13,113.25, 19,665.24 and 4,228.22 is: 6,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.25 : 19,665.24 = 4,228.22 : x
  2. Step 2: Convert to fraction form
    13,113.25/19,665.24 = 4,228.22/x
  3. Step 3: Cross multiply
    13,113.25x = 19,665.24 × 4,228.22
  4. Step 4: Simplify right side
    13,113.25x = 83,148,961.07
  5. Step 5: Solve for x
    x = 83,148,961.07/13,113.25
  6. Step 6: Final answer
    x = 6,340.84

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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.