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Finding the Fourth Proportional to 22,420.99, 33,637.16 and 6,838.75

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Solution

The fourth proportional to 22,420.99, 33,637.16 and 6,838.75 is: 10,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,420.99 : 33,637.16 = 6,838.75 : x
  2. Step 2: Convert to fraction form
    22,420.99/33,637.16 = 6,838.75/x
  3. Step 3: Cross multiply
    22,420.99x = 33,637.16 × 6,838.75
  4. Step 4: Simplify right side
    22,420.99x = 230,036,127.95
  5. Step 5: Solve for x
    x = 230,036,127.95/22,420.99
  6. Step 6: Final answer
    x = 10,259.86

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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.