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Finding the Fourth Proportional to 21,286.64, 31,900.36 and 10,876.40

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Solution

The fourth proportional to 21,286.64, 31,900.36 and 10,876.40 is: 16,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.64 : 31,900.36 = 10,876.40 : x
  2. Step 2: Convert to fraction form
    21,286.64/31,900.36 = 10,876.40/x
  3. Step 3: Cross multiply
    21,286.64x = 31,900.36 × 10,876.40
  4. Step 4: Simplify right side
    21,286.64x = 346,961,075.50
  5. Step 5: Solve for x
    x = 346,961,075.50/21,286.64
  6. Step 6: Final answer
    x = 16,299.48

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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.