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Finding the Fourth Proportional to 21,036.20, 31,530.06 and 8,542.50

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Solution

The fourth proportional to 21,036.20, 31,530.06 and 8,542.50 is: 12,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.20 : 31,530.06 = 8,542.50 : x
  2. Step 2: Convert to fraction form
    21,036.20/31,530.06 = 8,542.50/x
  3. Step 3: Cross multiply
    21,036.20x = 31,530.06 × 8,542.50
  4. Step 4: Simplify right side
    21,036.20x = 269,345,537.55
  5. Step 5: Solve for x
    x = 269,345,537.55/21,036.20
  6. Step 6: Final answer
    x = 12,803.91

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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.