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Finding the Fourth Proportional to 12,746.22, 17,580.42 and 7,440.72

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Solution

The fourth proportional to 12,746.22, 17,580.42 and 7,440.72 is: 10,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.22 : 17,580.42 = 7,440.72 : x
  2. Step 2: Convert to fraction form
    12,746.22/17,580.42 = 7,440.72/x
  3. Step 3: Cross multiply
    12,746.22x = 17,580.42 × 7,440.72
  4. Step 4: Simplify right side
    12,746.22x = 130,810,982.70
  5. Step 5: Solve for x
    x = 130,810,982.70/12,746.22
  6. Step 6: Final answer
    x = 10,262.73

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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.