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Finding the Fourth Proportional to 20,089.92, 27,685.86 and 14,714.00

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Solution

The fourth proportional to 20,089.92, 27,685.86 and 14,714.00 is: 20,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.92 : 27,685.86 = 14,714.00 : x
  2. Step 2: Convert to fraction form
    20,089.92/27,685.86 = 14,714.00/x
  3. Step 3: Cross multiply
    20,089.92x = 27,685.86 × 14,714.00
  4. Step 4: Simplify right side
    20,089.92x = 407,369,913.45
  5. Step 5: Solve for x
    x = 407,369,913.45/20,089.92
  6. Step 6: Final answer
    x = 20,277.33

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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.