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Finding the Fourth Proportional to 20,828.52, 28,724.64 and 13,762.08

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Solution

The fourth proportional to 20,828.52, 28,724.64 and 13,762.08 is: 18,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.52 : 28,724.64 = 13,762.08 : x
  2. Step 2: Convert to fraction form
    20,828.52/28,724.64 = 13,762.08/x
  3. Step 3: Cross multiply
    20,828.52x = 28,724.64 × 13,762.08
  4. Step 4: Simplify right side
    20,828.52x = 395,310,793.65
  5. Step 5: Solve for x
    x = 395,310,793.65/20,828.52
  6. Step 6: Final answer
    x = 18,979.30

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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.