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Finding the Fourth Proportional to 12,771.93, 17,625.35 and 7,106.92

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Solution

The fourth proportional to 12,771.93, 17,625.35 and 7,106.92 is: 9,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.93 : 17,625.35 = 7,106.92 : x
  2. Step 2: Convert to fraction form
    12,771.93/17,625.35 = 7,106.92/x
  3. Step 3: Cross multiply
    12,771.93x = 17,625.35 × 7,106.92
  4. Step 4: Simplify right side
    12,771.93x = 125,261,899.47
  5. Step 5: Solve for x
    x = 125,261,899.47/12,771.93
  6. Step 6: Final answer
    x = 9,807.59

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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.