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Finding the Fourth Proportional to 21,406.37, 32,100.50 and 6,415.61

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Solution

The fourth proportional to 21,406.37, 32,100.50 and 6,415.61 is: 9,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.37 : 32,100.50 = 6,415.61 : x
  2. Step 2: Convert to fraction form
    21,406.37/32,100.50 = 6,415.61/x
  3. Step 3: Cross multiply
    21,406.37x = 32,100.50 × 6,415.61
  4. Step 4: Simplify right side
    21,406.37x = 205,944,096.22
  5. Step 5: Solve for x
    x = 205,944,096.22/21,406.37
  6. Step 6: Final answer
    x = 9,620.69

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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.