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Finding the Fourth Proportional to 13,597.50, 18,762.93 and 7,933.44

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Solution

The fourth proportional to 13,597.50, 18,762.93 and 7,933.44 is: 10,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.50 : 18,762.93 = 7,933.44 : x
  2. Step 2: Convert to fraction form
    13,597.50/18,762.93 = 7,933.44/x
  3. Step 3: Cross multiply
    13,597.50x = 18,762.93 × 7,933.44
  4. Step 4: Simplify right side
    13,597.50x = 148,854,579.38
  5. Step 5: Solve for x
    x = 148,854,579.38/13,597.50
  6. Step 6: Final answer
    x = 10,947.20

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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.