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Finding the Fourth Proportional to 12,771.88, 17,624.56 and 7,106.96

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Solution

The fourth proportional to 12,771.88, 17,624.56 and 7,106.96 is: 9,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.88 : 17,624.56 = 7,106.96 : x
  2. Step 2: Convert to fraction form
    12,771.88/17,624.56 = 7,106.96/x
  3. Step 3: Cross multiply
    12,771.88x = 17,624.56 × 7,106.96
  4. Step 4: Simplify right side
    12,771.88x = 125,257,042.94
  5. Step 5: Solve for x
    x = 125,257,042.94/12,771.88
  6. Step 6: Final answer
    x = 9,807.25

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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.