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Finding the Fourth Proportional to 13,365.50, 20,042.78 and 5,041.31

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Solution

The fourth proportional to 13,365.50, 20,042.78 and 5,041.31 is: 7,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.50 : 20,042.78 = 5,041.31 : x
  2. Step 2: Convert to fraction form
    13,365.50/20,042.78 = 5,041.31/x
  3. Step 3: Cross multiply
    13,365.50x = 20,042.78 × 5,041.31
  4. Step 4: Simplify right side
    13,365.50x = 101,041,741.82
  5. Step 5: Solve for x
    x = 101,041,741.82/13,365.50
  6. Step 6: Final answer
    x = 7,559.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.