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Finding the Fourth Proportional to 27,118.54, 40,681.77 and 8,400.25

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Solution

The fourth proportional to 27,118.54, 40,681.77 and 8,400.25 is: 12,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118.54 : 40,681.77 = 8,400.25 : x
  2. Step 2: Convert to fraction form
    27,118.54/40,681.77 = 8,400.25/x
  3. Step 3: Cross multiply
    27,118.54x = 40,681.77 × 8,400.25
  4. Step 4: Simplify right side
    27,118.54x = 341,737,038.44
  5. Step 5: Solve for x
    x = 341,737,038.44/27,118.54
  6. Step 6: Final answer
    x = 12,601.60

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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.