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Finding the Fourth Proportional to 12,640.40, 17,441.16 and 9,650.96

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Solution

The fourth proportional to 12,640.40, 17,441.16 and 9,650.96 is: 13,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.40 : 17,441.16 = 9,650.96 : x
  2. Step 2: Convert to fraction form
    12,640.40/17,441.16 = 9,650.96/x
  3. Step 3: Cross multiply
    12,640.40x = 17,441.16 × 9,650.96
  4. Step 4: Simplify right side
    12,640.40x = 168,323,937.51
  5. Step 5: Solve for x
    x = 168,323,937.51/12,640.40
  6. Step 6: Final answer
    x = 13,316.35

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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.