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Finding the Fourth Proportional to 14,854.06, 20,498.94 and 8,140

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Solution

The fourth proportional to 14,854.06, 20,498.94 and 8,140 is: 11,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.06 : 20,498.94 = 8,140 : x
  2. Step 2: Convert to fraction form
    14,854.06/20,498.94 = 8,140/x
  3. Step 3: Cross multiply
    14,854.06x = 20,498.94 × 8,140
  4. Step 4: Simplify right side
    14,854.06x = 166,861,371.60
  5. Step 5: Solve for x
    x = 166,861,371.60/14,854.06
  6. Step 6: Final answer
    x = 11,233.38

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Why These Related Problems?

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