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Finding the Fourth Proportional to 14,985.70, 20,680.16 and 8,271.74

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Solution

The fourth proportional to 14,985.70, 20,680.16 and 8,271.74 is: 11,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.70 : 20,680.16 = 8,271.74 : x
  2. Step 2: Convert to fraction form
    14,985.70/20,680.16 = 8,271.74/x
  3. Step 3: Cross multiply
    14,985.70x = 20,680.16 × 8,271.74
  4. Step 4: Simplify right side
    14,985.70x = 171,060,906.68
  5. Step 5: Solve for x
    x = 171,060,906.68/14,985.70
  6. Step 6: Final answer
    x = 11,414.94

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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.