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Finding the Fourth Proportional to 27,363.78, 37,762.02 and 14,788.54

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Solution

The fourth proportional to 27,363.78, 37,762.02 and 14,788.54 is: 20,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,363.78 : 37,762.02 = 14,788.54 : x
  2. Step 2: Convert to fraction form
    27,363.78/37,762.02 = 14,788.54/x
  3. Step 3: Cross multiply
    27,363.78x = 37,762.02 × 14,788.54
  4. Step 4: Simplify right side
    27,363.78x = 558,445,143.25
  5. Step 5: Solve for x
    x = 558,445,143.25/27,363.78
  6. Step 6: Final answer
    x = 20,408.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.