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Finding the Fourth Proportional to 14,634.71, 20,182.19 and 9,714.63

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Solution

The fourth proportional to 14,634.71, 20,182.19 and 9,714.63 is: 13,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.71 : 20,182.19 = 9,714.63 : x
  2. Step 2: Convert to fraction form
    14,634.71/20,182.19 = 9,714.63/x
  3. Step 3: Cross multiply
    14,634.71x = 20,182.19 × 9,714.63
  4. Step 4: Simplify right side
    14,634.71x = 196,062,508.44
  5. Step 5: Solve for x
    x = 196,062,508.44/14,634.71
  6. Step 6: Final answer
    x = 13,397.09

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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.