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Finding the Fourth Proportional to 21,201.35, 31,810.32 and 6,411.76

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Solution

The fourth proportional to 21,201.35, 31,810.32 and 6,411.76 is: 9,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.35 : 31,810.32 = 6,411.76 : x
  2. Step 2: Convert to fraction form
    21,201.35/31,810.32 = 6,411.76/x
  3. Step 3: Cross multiply
    21,201.35x = 31,810.32 × 6,411.76
  4. Step 4: Simplify right side
    21,201.35x = 203,960,057.84
  5. Step 5: Solve for x
    x = 203,960,057.84/21,201.35
  6. Step 6: Final answer
    x = 9,620.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.