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Finding the Fourth Proportional to 12,467.90, 18,697.77 and 4,145.63

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Solution

The fourth proportional to 12,467.90, 18,697.77 and 4,145.63 is: 6,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.90 : 18,697.77 = 4,145.63 : x
  2. Step 2: Convert to fraction form
    12,467.90/18,697.77 = 4,145.63/x
  3. Step 3: Cross multiply
    12,467.90x = 18,697.77 × 4,145.63
  4. Step 4: Simplify right side
    12,467.90x = 77,513,942.76
  5. Step 5: Solve for x
    x = 77,513,942.76/12,467.90
  6. Step 6: Final answer
    x = 6,217.08

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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.