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Finding the Fourth Proportional to 12,846.20, 19,223.74 and 7,565.81

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Solution

The fourth proportional to 12,846.20, 19,223.74 and 7,565.81 is: 11,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.20 : 19,223.74 = 7,565.81 : x
  2. Step 2: Convert to fraction form
    12,846.20/19,223.74 = 7,565.81/x
  3. Step 3: Cross multiply
    12,846.20x = 19,223.74 × 7,565.81
  4. Step 4: Simplify right side
    12,846.20x = 145,443,193.47
  5. Step 5: Solve for x
    x = 145,443,193.47/12,846.20
  6. Step 6: Final answer
    x = 11,321.88

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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.