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Finding the Fourth Proportional to 22,424.40, 33,636.33 and 6,842.07

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Solution

The fourth proportional to 22,424.40, 33,636.33 and 6,842.07 is: 10,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.40 : 33,636.33 = 6,842.07 : x
  2. Step 2: Convert to fraction form
    22,424.40/33,636.33 = 6,842.07/x
  3. Step 3: Cross multiply
    22,424.40x = 33,636.33 × 6,842.07
  4. Step 4: Simplify right side
    22,424.40x = 230,142,124.40
  5. Step 5: Solve for x
    x = 230,142,124.40/22,424.40
  6. Step 6: Final answer
    x = 10,263.02

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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.