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Finding the Fourth Proportional to 17,302.89, 23,878.49 and 9,749.31

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Solution

The fourth proportional to 17,302.89, 23,878.49 and 9,749.31 is: 13,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.89 : 23,878.49 = 9,749.31 : x
  2. Step 2: Convert to fraction form
    17,302.89/23,878.49 = 9,749.31/x
  3. Step 3: Cross multiply
    17,302.89x = 23,878.49 × 9,749.31
  4. Step 4: Simplify right side
    17,302.89x = 232,798,752.60
  5. Step 5: Solve for x
    x = 232,798,752.60/17,302.89
  6. Step 6: Final answer
    x = 13,454.33

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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.