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Finding the Fourth Proportional to 12,840.38, 19,256.74 and 5,444.72

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Solution

The fourth proportional to 12,840.38, 19,256.74 and 5,444.72 is: 8,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.38 : 19,256.74 = 5,444.72 : x
  2. Step 2: Convert to fraction form
    12,840.38/19,256.74 = 5,444.72/x
  3. Step 3: Cross multiply
    12,840.38x = 19,256.74 × 5,444.72
  4. Step 4: Simplify right side
    12,840.38x = 104,847,557.41
  5. Step 5: Solve for x
    x = 104,847,557.41/12,840.38
  6. Step 6: Final answer
    x = 8,165.46

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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.