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Finding the Fourth Proportional to 21,201.15, 31,800.71 and 8,052.50

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Solution

The fourth proportional to 21,201.15, 31,800.71 and 8,052.50 is: 12,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.15 : 31,800.71 = 8,052.50 : x
  2. Step 2: Convert to fraction form
    21,201.15/31,800.71 = 8,052.50/x
  3. Step 3: Cross multiply
    21,201.15x = 31,800.71 × 8,052.50
  4. Step 4: Simplify right side
    21,201.15x = 256,075,018.01
  5. Step 5: Solve for x
    x = 256,075,018.01/21,201.15
  6. Step 6: Final answer
    x = 12,078.36

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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.