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Finding the Fourth Proportional to 12,704.94, 17,523.59 and 7,666.94

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Solution

The fourth proportional to 12,704.94, 17,523.59 and 7,666.94 is: 10,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.94 : 17,523.59 = 7,666.94 : x
  2. Step 2: Convert to fraction form
    12,704.94/17,523.59 = 7,666.94/x
  3. Step 3: Cross multiply
    12,704.94x = 17,523.59 × 7,666.94
  4. Step 4: Simplify right side
    12,704.94x = 134,352,187.16
  5. Step 5: Solve for x
    x = 134,352,187.16/12,704.94
  6. Step 6: Final answer
    x = 10,574.80

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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.