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Finding the Fourth Proportional to 17,954.69, 24,777.03 and 9,996.74

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Solution

The fourth proportional to 17,954.69, 24,777.03 and 9,996.74 is: 13,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.69 : 24,777.03 = 9,996.74 : x
  2. Step 2: Convert to fraction form
    17,954.69/24,777.03 = 9,996.74/x
  3. Step 3: Cross multiply
    17,954.69x = 24,777.03 × 9,996.74
  4. Step 4: Simplify right side
    17,954.69x = 247,689,403.00
  5. Step 5: Solve for x
    x = 247,689,403.00/17,954.69
  6. Step 6: Final answer
    x = 13,795.25

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1.5x scale

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.