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Finding the Fourth Proportional to 21,384.09, 32,077.44 and 8,236.50

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Solution

The fourth proportional to 21,384.09, 32,077.44 and 8,236.50 is: 12,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.09 : 32,077.44 = 8,236.50 : x
  2. Step 2: Convert to fraction form
    21,384.09/32,077.44 = 8,236.50/x
  3. Step 3: Cross multiply
    21,384.09x = 32,077.44 × 8,236.50
  4. Step 4: Simplify right side
    21,384.09x = 264,205,674.17
  5. Step 5: Solve for x
    x = 264,205,674.17/21,384.09
  6. Step 6: Final answer
    x = 12,355.25

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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.