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Finding the Fourth Proportional to 23,718.60, 35,578.62 and 8,136

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Solution

The fourth proportional to 23,718.60, 35,578.62 and 8,136 is: 12,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.60 : 35,578.62 = 8,136 : x
  2. Step 2: Convert to fraction form
    23,718.60/35,578.62 = 8,136/x
  3. Step 3: Cross multiply
    23,718.60x = 35,578.62 × 8,136
  4. Step 4: Simplify right side
    23,718.60x = 289,467,652.32
  5. Step 5: Solve for x
    x = 289,467,652.32/23,718.60
  6. Step 6: Final answer
    x = 12,204.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.