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Finding the Fourth Proportional to 12,568.84, 18,840.30 and 5,648.20

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Solution

The fourth proportional to 12,568.84, 18,840.30 and 5,648.20 is: 8,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.84 : 18,840.30 = 5,648.20 : x
  2. Step 2: Convert to fraction form
    12,568.84/18,840.30 = 5,648.20/x
  3. Step 3: Cross multiply
    12,568.84x = 18,840.30 × 5,648.20
  4. Step 4: Simplify right side
    12,568.84x = 106,413,782.46
  5. Step 5: Solve for x
    x = 106,413,782.46/12,568.84
  6. Step 6: Final answer
    x = 8,466.48

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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.