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Finding the Fourth Proportional to 17,722.67, 24,457.26 and 9,764.89

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Solution

The fourth proportional to 17,722.67, 24,457.26 and 9,764.89 is: 13,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.67 : 24,457.26 = 9,764.89 : x
  2. Step 2: Convert to fraction form
    17,722.67/24,457.26 = 9,764.89/x
  3. Step 3: Cross multiply
    17,722.67x = 24,457.26 × 9,764.89
  4. Step 4: Simplify right side
    17,722.67x = 238,822,438.32
  5. Step 5: Solve for x
    x = 238,822,438.32/17,722.67
  6. Step 6: Final answer
    x = 13,475.54

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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.