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Finding the Fourth Proportional to 14,714.57, 20,306.12 and 8,426.94

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Solution

The fourth proportional to 14,714.57, 20,306.12 and 8,426.94 is: 11,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.57 : 20,306.12 = 8,426.94 : x
  2. Step 2: Convert to fraction form
    14,714.57/20,306.12 = 8,426.94/x
  3. Step 3: Cross multiply
    14,714.57x = 20,306.12 × 8,426.94
  4. Step 4: Simplify right side
    14,714.57x = 171,118,412.74
  5. Step 5: Solve for x
    x = 171,118,412.74/14,714.57
  6. Step 6: Final answer
    x = 11,629.19

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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.