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Finding the Fourth Proportional to 17,722.67, 24,457.32 and 9,656.28

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Solution

The fourth proportional to 17,722.67, 24,457.32 and 9,656.28 is: 13,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.67 : 24,457.32 = 9,656.28 : x
  2. Step 2: Convert to fraction form
    17,722.67/24,457.32 = 9,656.28/x
  3. Step 3: Cross multiply
    17,722.67x = 24,457.32 × 9,656.28
  4. Step 4: Simplify right side
    17,722.67x = 236,166,729.97
  5. Step 5: Solve for x
    x = 236,166,729.97/17,722.67
  6. Step 6: Final answer
    x = 13,325.69

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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.