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Finding the Fourth Proportional to 27,476, 41,199.42 and 12,677.32

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Solution

The fourth proportional to 27,476, 41,199.42 and 12,677.32 is: 19,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476 : 41,199.42 = 12,677.32 : x
  2. Step 2: Convert to fraction form
    27,476/41,199.42 = 12,677.32/x
  3. Step 3: Cross multiply
    27,476x = 41,199.42 × 12,677.32
  4. Step 4: Simplify right side
    27,476x = 522,298,231.15
  5. Step 5: Solve for x
    x = 522,298,231.15/27,476
  6. Step 6: Final answer
    x = 19,009.25

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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.