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Finding the Fourth Proportional to 12,455.75, 17,188.94 and 7,740.03

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Solution

The fourth proportional to 12,455.75, 17,188.94 and 7,740.03 is: 10,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.75 : 17,188.94 = 7,740.03 : x
  2. Step 2: Convert to fraction form
    12,455.75/17,188.94 = 7,740.03/x
  3. Step 3: Cross multiply
    12,455.75x = 17,188.94 × 7,740.03
  4. Step 4: Simplify right side
    12,455.75x = 133,042,911.27
  5. Step 5: Solve for x
    x = 133,042,911.27/12,455.75
  6. Step 6: Final answer
    x = 10,681.24

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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.