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Finding the Fourth Proportional to 17,619.50, 24,314.74 and 9,661.70

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Solution

The fourth proportional to 17,619.50, 24,314.74 and 9,661.70 is: 13,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.50 : 24,314.74 = 9,661.70 : x
  2. Step 2: Convert to fraction form
    17,619.50/24,314.74 = 9,661.70/x
  3. Step 3: Cross multiply
    17,619.50x = 24,314.74 × 9,661.70
  4. Step 4: Simplify right side
    17,619.50x = 234,921,723.46
  5. Step 5: Solve for x
    x = 234,921,723.46/17,619.50
  6. Step 6: Final answer
    x = 13,333.05

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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.