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Finding the Fourth Proportional to 12,271.86, 18,410.50 and 4,480.64

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Solution

The fourth proportional to 12,271.86, 18,410.50 and 4,480.64 is: 6,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.86 : 18,410.50 = 4,480.64 : x
  2. Step 2: Convert to fraction form
    12,271.86/18,410.50 = 4,480.64/x
  3. Step 3: Cross multiply
    12,271.86x = 18,410.50 × 4,480.64
  4. Step 4: Simplify right side
    12,271.86x = 82,490,822.72
  5. Step 5: Solve for x
    x = 82,490,822.72/12,271.86
  6. Step 6: Final answer
    x = 6,721.95

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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.