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Finding the Fourth Proportional to 13,437.87, 18,543.83 and 7,469.39

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Solution

The fourth proportional to 13,437.87, 18,543.83 and 7,469.39 is: 10,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.87 : 18,543.83 = 7,469.39 : x
  2. Step 2: Convert to fraction form
    13,437.87/18,543.83 = 7,469.39/x
  3. Step 3: Cross multiply
    13,437.87x = 18,543.83 × 7,469.39
  4. Step 4: Simplify right side
    13,437.87x = 138,510,968.30
  5. Step 5: Solve for x
    x = 138,510,968.30/13,437.87
  6. Step 6: Final answer
    x = 10,307.51

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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.