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Finding the Fourth Proportional to 17,722.14, 24,455.70 and 9,764.70

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Solution

The fourth proportional to 17,722.14, 24,455.70 and 9,764.70 is: 13,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.14 : 24,455.70 = 9,764.70 : x
  2. Step 2: Convert to fraction form
    17,722.14/24,455.70 = 9,764.70/x
  3. Step 3: Cross multiply
    17,722.14x = 24,455.70 × 9,764.70
  4. Step 4: Simplify right side
    17,722.14x = 238,802,573.79
  5. Step 5: Solve for x
    x = 238,802,573.79/17,722.14
  6. Step 6: Final answer
    x = 13,474.82

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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.