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Finding the Fourth Proportional to 14,714.64, 20,300.76 and 8,746.56

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Solution

The fourth proportional to 14,714.64, 20,300.76 and 8,746.56 is: 12,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.64 : 20,300.76 = 8,746.56 : x
  2. Step 2: Convert to fraction form
    14,714.64/20,300.76 = 8,746.56/x
  3. Step 3: Cross multiply
    14,714.64x = 20,300.76 × 8,746.56
  4. Step 4: Simplify right side
    14,714.64x = 177,561,815.39
  5. Step 5: Solve for x
    x = 177,561,815.39/14,714.64
  6. Step 6: Final answer
    x = 12,067.02

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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.