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Finding the Fourth Proportional to 17,210.22, 23,749.73 and 9,656.42

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Solution

The fourth proportional to 17,210.22, 23,749.73 and 9,656.42 is: 13,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210.22 : 23,749.73 = 9,656.42 : x
  2. Step 2: Convert to fraction form
    17,210.22/23,749.73 = 9,656.42/x
  3. Step 3: Cross multiply
    17,210.22x = 23,749.73 × 9,656.42
  4. Step 4: Simplify right side
    17,210.22x = 229,337,367.77
  5. Step 5: Solve for x
    x = 229,337,367.77/17,210.22
  6. Step 6: Final answer
    x = 13,325.65

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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.