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Finding the Fourth Proportional to 23,637.40, 35,463.05 and 6,997.87

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Solution

The fourth proportional to 23,637.40, 35,463.05 and 6,997.87 is: 10,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.40 : 35,463.05 = 6,997.87 : x
  2. Step 2: Convert to fraction form
    23,637.40/35,463.05 = 6,997.87/x
  3. Step 3: Cross multiply
    23,637.40x = 35,463.05 × 6,997.87
  4. Step 4: Simplify right side
    23,637.40x = 248,165,813.70
  5. Step 5: Solve for x
    x = 248,165,813.70/23,637.40
  6. Step 6: Final answer
    x = 10,498.86

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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.