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Finding the Fourth Proportional to 12,271.74, 16,940.19 and 8,298.24

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Solution

The fourth proportional to 12,271.74, 16,940.19 and 8,298.24 is: 11,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.74 : 16,940.19 = 8,298.24 : x
  2. Step 2: Convert to fraction form
    12,271.74/16,940.19 = 8,298.24/x
  3. Step 3: Cross multiply
    12,271.74x = 16,940.19 × 8,298.24
  4. Step 4: Simplify right side
    12,271.74x = 140,573,762.27
  5. Step 5: Solve for x
    x = 140,573,762.27/12,271.74
  6. Step 6: Final answer
    x = 11,455.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.