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Finding the Fourth Proportional to 40,653.54, 60,965.15 and 13,992.06

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Solution

The fourth proportional to 40,653.54, 60,965.15 and 13,992.06 is: 20,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,653.54 : 60,965.15 = 13,992.06 : x
  2. Step 2: Convert to fraction form
    40,653.54/60,965.15 = 13,992.06/x
  3. Step 3: Cross multiply
    40,653.54x = 60,965.15 × 13,992.06
  4. Step 4: Simplify right side
    40,653.54x = 853,027,966.75
  5. Step 5: Solve for x
    x = 853,027,966.75/40,653.54
  6. Step 6: Final answer
    x = 20,982.87

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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.