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Finding the Fourth Proportional to 12,038.44, 18,064.82 and 5,464.54

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Solution

The fourth proportional to 12,038.44, 18,064.82 and 5,464.54 is: 8,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.44 : 18,064.82 = 5,464.54 : x
  2. Step 2: Convert to fraction form
    12,038.44/18,064.82 = 5,464.54/x
  3. Step 3: Cross multiply
    12,038.44x = 18,064.82 × 5,464.54
  4. Step 4: Simplify right side
    12,038.44x = 98,715,931.48
  5. Step 5: Solve for x
    x = 98,715,931.48/12,038.44
  6. Step 6: Final answer
    x = 8,200.06

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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.