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Finding the Fourth Proportional to 11,495.47, 17,257.80 and 9,775.03

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Solution

The fourth proportional to 11,495.47, 17,257.80 and 9,775.03 is: 14,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.47 : 17,257.80 = 9,775.03 : x
  2. Step 2: Convert to fraction form
    11,495.47/17,257.80 = 9,775.03/x
  3. Step 3: Cross multiply
    11,495.47x = 17,257.80 × 9,775.03
  4. Step 4: Simplify right side
    11,495.47x = 168,695,512.73
  5. Step 5: Solve for x
    x = 168,695,512.73/11,495.47
  6. Step 6: Final answer
    x = 14,674.96

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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.