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Finding the Fourth Proportional to 26,677, 40,039.76 and 14,207.48

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Solution

The fourth proportional to 26,677, 40,039.76 and 14,207.48 is: 21,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677 : 40,039.76 = 14,207.48 : x
  2. Step 2: Convert to fraction form
    26,677/40,039.76 = 14,207.48/x
  3. Step 3: Cross multiply
    26,677x = 40,039.76 × 14,207.48
  4. Step 4: Simplify right side
    26,677x = 568,864,089.40
  5. Step 5: Solve for x
    x = 568,864,089.40/26,677
  6. Step 6: Final answer
    x = 21,324.14

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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.