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Finding the Fourth Proportional to 12,704.84, 17,533.31 and 7,668.98

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Solution

The fourth proportional to 12,704.84, 17,533.31 and 7,668.98 is: 10,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.84 : 17,533.31 = 7,668.98 : x
  2. Step 2: Convert to fraction form
    12,704.84/17,533.31 = 7,668.98/x
  3. Step 3: Cross multiply
    12,704.84x = 17,533.31 × 7,668.98
  4. Step 4: Simplify right side
    12,704.84x = 134,462,603.72
  5. Step 5: Solve for x
    x = 134,462,603.72/12,704.84
  6. Step 6: Final answer
    x = 10,583.57

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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.