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Finding the Fourth Proportional to 21,993.23, 32,965.07 and 10,907.87

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Solution

The fourth proportional to 21,993.23, 32,965.07 and 10,907.87 is: 16,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.23 : 32,965.07 = 10,907.87 : x
  2. Step 2: Convert to fraction form
    21,993.23/32,965.07 = 10,907.87/x
  3. Step 3: Cross multiply
    21,993.23x = 32,965.07 × 10,907.87
  4. Step 4: Simplify right side
    21,993.23x = 359,578,478.74
  5. Step 5: Solve for x
    x = 359,578,478.74/21,993.23
  6. Step 6: Final answer
    x = 16,349.51

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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.