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Finding the Fourth Proportional to 23,664.03, 35,500.23 and 8,078.01

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Solution

The fourth proportional to 23,664.03, 35,500.23 and 8,078.01 is: 12,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.03 : 35,500.23 = 8,078.01 : x
  2. Step 2: Convert to fraction form
    23,664.03/35,500.23 = 8,078.01/x
  3. Step 3: Cross multiply
    23,664.03x = 35,500.23 × 8,078.01
  4. Step 4: Simplify right side
    23,664.03x = 286,771,212.94
  5. Step 5: Solve for x
    x = 286,771,212.94/23,664.03
  6. Step 6: Final answer
    x = 12,118.44

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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.