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Finding the Fourth Proportional to 23,841.84, 35,769.14 and 8,259.47

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Solution

The fourth proportional to 23,841.84, 35,769.14 and 8,259.47 is: 12,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.84 : 35,769.14 = 8,259.47 : x
  2. Step 2: Convert to fraction form
    23,841.84/35,769.14 = 8,259.47/x
  3. Step 3: Cross multiply
    23,841.84x = 35,769.14 × 8,259.47
  4. Step 4: Simplify right side
    23,841.84x = 295,434,130.18
  5. Step 5: Solve for x
    x = 295,434,130.18/23,841.84
  6. Step 6: Final answer
    x = 12,391.41

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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.