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Finding the Fourth Proportional to 22,590.50, 33,885.76 and 6,174.50

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Solution

The fourth proportional to 22,590.50, 33,885.76 and 6,174.50 is: 9,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.50 : 33,885.76 = 6,174.50 : x
  2. Step 2: Convert to fraction form
    22,590.50/33,885.76 = 6,174.50/x
  3. Step 3: Cross multiply
    22,590.50x = 33,885.76 × 6,174.50
  4. Step 4: Simplify right side
    22,590.50x = 209,227,625.12
  5. Step 5: Solve for x
    x = 209,227,625.12/22,590.50
  6. Step 6: Final answer
    x = 9,261.75

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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.