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Finding the Fourth Proportional to 14,702.56, 20,290.44 and 8,414.80

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Solution

The fourth proportional to 14,702.56, 20,290.44 and 8,414.80 is: 11,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.56 : 20,290.44 = 8,414.80 : x
  2. Step 2: Convert to fraction form
    14,702.56/20,290.44 = 8,414.80/x
  3. Step 3: Cross multiply
    14,702.56x = 20,290.44 × 8,414.80
  4. Step 4: Simplify right side
    14,702.56x = 170,739,994.51
  5. Step 5: Solve for x
    x = 170,739,994.51/14,702.56
  6. Step 6: Final answer
    x = 11,612.94

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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.