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Finding the Fourth Proportional to 13,238.86, 19,852.46 and 6,220.87

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Solution

The fourth proportional to 13,238.86, 19,852.46 and 6,220.87 is: 9,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.86 : 19,852.46 = 6,220.87 : x
  2. Step 2: Convert to fraction form
    13,238.86/19,852.46 = 6,220.87/x
  3. Step 3: Cross multiply
    13,238.86x = 19,852.46 × 6,220.87
  4. Step 4: Simplify right side
    13,238.86x = 123,499,442.47
  5. Step 5: Solve for x
    x = 123,499,442.47/13,238.86
  6. Step 6: Final answer
    x = 9,328.56

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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.