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Finding the Fourth Proportional to 20,783.52, 28,679.76 and 11,350.08

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Solution

The fourth proportional to 20,783.52, 28,679.76 and 11,350.08 is: 15,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.52 : 28,679.76 = 11,350.08 : x
  2. Step 2: Convert to fraction form
    20,783.52/28,679.76 = 11,350.08/x
  3. Step 3: Cross multiply
    20,783.52x = 28,679.76 × 11,350.08
  4. Step 4: Simplify right side
    20,783.52x = 325,517,570.38
  5. Step 5: Solve for x
    x = 325,517,570.38/20,783.52
  6. Step 6: Final answer
    x = 15,662.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.