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Finding the Fourth Proportional to 13,365.68, 20,050.74 and 5,046.44

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Solution

The fourth proportional to 13,365.68, 20,050.74 and 5,046.44 is: 7,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.68 : 20,050.74 = 5,046.44 : x
  2. Step 2: Convert to fraction form
    13,365.68/20,050.74 = 5,046.44/x
  3. Step 3: Cross multiply
    13,365.68x = 20,050.74 × 5,046.44
  4. Step 4: Simplify right side
    13,365.68x = 101,184,756.11
  5. Step 5: Solve for x
    x = 101,184,756.11/13,365.68
  6. Step 6: Final answer
    x = 7,570.49

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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.