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Finding the Fourth Proportional to 22,495.44, 33,743.12 and 9,174

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Solution

The fourth proportional to 22,495.44, 33,743.12 and 9,174 is: 13,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.44 : 33,743.12 = 9,174 : x
  2. Step 2: Convert to fraction form
    22,495.44/33,743.12 = 9,174/x
  3. Step 3: Cross multiply
    22,495.44x = 33,743.12 × 9,174
  4. Step 4: Simplify right side
    22,495.44x = 309,559,337.01
  5. Step 5: Solve for x
    x = 309,559,337.01/22,495.44
  6. Step 6: Final answer
    x = 13,760.98

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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.