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Finding the Fourth Proportional to 23,637.98, 35,461.18 and 7,843.96

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Solution

The fourth proportional to 23,637.98, 35,461.18 and 7,843.96 is: 11,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.98 : 35,461.18 = 7,843.96 : x
  2. Step 2: Convert to fraction form
    23,637.98/35,461.18 = 7,843.96/x
  3. Step 3: Cross multiply
    23,637.98x = 35,461.18 × 7,843.96
  4. Step 4: Simplify right side
    23,637.98x = 278,156,077.47
  5. Step 5: Solve for x
    x = 278,156,077.47/23,637.98
  6. Step 6: Final answer
    x = 11,767.34

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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.