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Finding the Fourth Proportional to 14,680.42, 20,255.80 and 8,714.08

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Solution

The fourth proportional to 14,680.42, 20,255.80 and 8,714.08 is: 12,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.42 : 20,255.80 = 8,714.08 : x
  2. Step 2: Convert to fraction form
    14,680.42/20,255.80 = 8,714.08/x
  3. Step 3: Cross multiply
    14,680.42x = 20,255.80 × 8,714.08
  4. Step 4: Simplify right side
    14,680.42x = 176,510,661.66
  5. Step 5: Solve for x
    x = 176,510,661.66/14,680.42
  6. Step 6: Final answer
    x = 12,023.54

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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.