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Finding the Fourth Proportional to 11,259, 16,890.30 and 9,174.06

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Solution

The fourth proportional to 11,259, 16,890.30 and 9,174.06 is: 13,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 16,890.30 = 9,174.06 : x
  2. Step 2: Convert to fraction form
    11,259/16,890.30 = 9,174.06/x
  3. Step 3: Cross multiply
    11,259x = 16,890.30 × 9,174.06
  4. Step 4: Simplify right side
    11,259x = 154,952,625.62
  5. Step 5: Solve for x
    x = 154,952,625.62/11,259
  6. Step 6: Final answer
    x = 13,762.56

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