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Finding the Fourth Proportional to 12,914.34, 17,823.06 and 7,610.88

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Solution

The fourth proportional to 12,914.34, 17,823.06 and 7,610.88 is: 10,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.34 : 17,823.06 = 7,610.88 : x
  2. Step 2: Convert to fraction form
    12,914.34/17,823.06 = 7,610.88/x
  3. Step 3: Cross multiply
    12,914.34x = 17,823.06 × 7,610.88
  4. Step 4: Simplify right side
    12,914.34x = 135,649,170.89
  5. Step 5: Solve for x
    x = 135,649,170.89/12,914.34
  6. Step 6: Final answer
    x = 10,503.76

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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.