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Finding the Fourth Proportional to 17,364.54, 23,961.87 and 9,811.17

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Solution

The fourth proportional to 17,364.54, 23,961.87 and 9,811.17 is: 13,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.54 : 23,961.87 = 9,811.17 : x
  2. Step 2: Convert to fraction form
    17,364.54/23,961.87 = 9,811.17/x
  3. Step 3: Cross multiply
    17,364.54x = 23,961.87 × 9,811.17
  4. Step 4: Simplify right side
    17,364.54x = 235,093,980.09
  5. Step 5: Solve for x
    x = 235,093,980.09/17,364.54
  6. Step 6: Final answer
    x = 13,538.74

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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.