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Finding the Fourth Proportional to 17,302.46, 23,877.18 and 9,749.57

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Solution

The fourth proportional to 17,302.46, 23,877.18 and 9,749.57 is: 13,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.46 : 23,877.18 = 9,749.57 : x
  2. Step 2: Convert to fraction form
    17,302.46/23,877.18 = 9,749.57/x
  3. Step 3: Cross multiply
    17,302.46x = 23,877.18 × 9,749.57
  4. Step 4: Simplify right side
    17,302.46x = 232,792,118.43
  5. Step 5: Solve for x
    x = 232,792,118.43/17,302.46
  6. Step 6: Final answer
    x = 13,454.28

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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.