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Finding the Fourth Proportional to 21,385.09, 32,078.94 and 8,237.50

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Solution

The fourth proportional to 21,385.09, 32,078.94 and 8,237.50 is: 12,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.09 : 32,078.94 = 8,237.50 : x
  2. Step 2: Convert to fraction form
    21,385.09/32,078.94 = 8,237.50/x
  3. Step 3: Cross multiply
    21,385.09x = 32,078.94 × 8,237.50
  4. Step 4: Simplify right side
    21,385.09x = 264,250,107.86
  5. Step 5: Solve for x
    x = 264,250,107.86/21,385.09
  6. Step 6: Final answer
    x = 12,356.75

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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.