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Finding the Fourth Proportional to 17,617.70, 24,311.07 and 10,062.98

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Solution

The fourth proportional to 17,617.70, 24,311.07 and 10,062.98 is: 13,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.70 : 24,311.07 = 10,062.98 : x
  2. Step 2: Convert to fraction form
    17,617.70/24,311.07 = 10,062.98/x
  3. Step 3: Cross multiply
    17,617.70x = 24,311.07 × 10,062.98
  4. Step 4: Simplify right side
    17,617.70x = 244,641,811.19
  5. Step 5: Solve for x
    x = 244,641,811.19/17,617.70
  6. Step 6: Final answer
    x = 13,886.14

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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.