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Finding the Fourth Proportional to 19,720.86, 27,214.78 and 10,768.40

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Solution

The fourth proportional to 19,720.86, 27,214.78 and 10,768.40 is: 14,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.86 : 27,214.78 = 10,768.40 : x
  2. Step 2: Convert to fraction form
    19,720.86/27,214.78 = 10,768.40/x
  3. Step 3: Cross multiply
    19,720.86x = 27,214.78 × 10,768.40
  4. Step 4: Simplify right side
    19,720.86x = 293,059,636.95
  5. Step 5: Solve for x
    x = 293,059,636.95/19,720.86
  6. Step 6: Final answer
    x = 14,860.39

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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.