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Finding the Fourth Proportional to 17,722.19, 24,457.71 and 9,764.42

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Solution

The fourth proportional to 17,722.19, 24,457.71 and 9,764.42 is: 13,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.19 : 24,457.71 = 9,764.42 : x
  2. Step 2: Convert to fraction form
    17,722.19/24,457.71 = 9,764.42/x
  3. Step 3: Cross multiply
    17,722.19x = 24,457.71 × 9,764.42
  4. Step 4: Simplify right side
    17,722.19x = 238,815,267.01
  5. Step 5: Solve for x
    x = 238,815,267.01/17,722.19
  6. Step 6: Final answer
    x = 13,475.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.