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Finding the Fourth Proportional to 20,714.47, 28,585.09 and 11,762.47

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Solution

The fourth proportional to 20,714.47, 28,585.09 and 11,762.47 is: 16,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.47 : 28,585.09 = 11,762.47 : x
  2. Step 2: Convert to fraction form
    20,714.47/28,585.09 = 11,762.47/x
  3. Step 3: Cross multiply
    20,714.47x = 28,585.09 × 11,762.47
  4. Step 4: Simplify right side
    20,714.47x = 336,231,263.57
  5. Step 5: Solve for x
    x = 336,231,263.57/20,714.47
  6. Step 6: Final answer
    x = 16,231.71

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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.