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Finding the Fourth Proportional to 11,666.97, 17,485.80 and 9,192

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Solution

The fourth proportional to 11,666.97, 17,485.80 and 9,192 is: 13,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.97 : 17,485.80 = 9,192 : x
  2. Step 2: Convert to fraction form
    11,666.97/17,485.80 = 9,192/x
  3. Step 3: Cross multiply
    11,666.97x = 17,485.80 × 9,192
  4. Step 4: Simplify right side
    11,666.97x = 160,729,473.60
  5. Step 5: Solve for x
    x = 160,729,473.60/11,666.97
  6. Step 6: Final answer
    x = 13,776.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.