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Finding the Fourth Proportional to 21,201.75, 31,802.63 and 6,410.34

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Solution

The fourth proportional to 21,201.75, 31,802.63 and 6,410.34 is: 9,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.75 : 31,802.63 = 6,410.34 : x
  2. Step 2: Convert to fraction form
    21,201.75/31,802.63 = 6,410.34/x
  3. Step 3: Cross multiply
    21,201.75x = 31,802.63 × 6,410.34
  4. Step 4: Simplify right side
    21,201.75x = 203,865,639.14
  5. Step 5: Solve for x
    x = 203,865,639.14/21,201.75
  6. Step 6: Final answer
    x = 9,615.51

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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.