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Finding the Fourth Proportional to 17,674.63, 24,391.40 and 9,608.74

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Solution

The fourth proportional to 17,674.63, 24,391.40 and 9,608.74 is: 13,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.63 : 24,391.40 = 9,608.74 : x
  2. Step 2: Convert to fraction form
    17,674.63/24,391.40 = 9,608.74/x
  3. Step 3: Cross multiply
    17,674.63x = 24,391.40 × 9,608.74
  4. Step 4: Simplify right side
    17,674.63x = 234,370,511.81
  5. Step 5: Solve for x
    x = 234,370,511.81/17,674.63
  6. Step 6: Final answer
    x = 13,260.28

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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.