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Finding the Fourth Proportional to 11,509.89, 17,257.14 and 9,291.45

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Solution

The fourth proportional to 11,509.89, 17,257.14 and 9,291.45 is: 13,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.89 : 17,257.14 = 9,291.45 : x
  2. Step 2: Convert to fraction form
    11,509.89/17,257.14 = 9,291.45/x
  3. Step 3: Cross multiply
    11,509.89x = 17,257.14 × 9,291.45
  4. Step 4: Simplify right side
    11,509.89x = 160,343,853.45
  5. Step 5: Solve for x
    x = 160,343,853.45/11,509.89
  6. Step 6: Final answer
    x = 13,930.96

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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.