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Finding the Fourth Proportional to 27,907.70, 41,853.20 and 9,184.28

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Solution

The fourth proportional to 27,907.70, 41,853.20 and 9,184.28 is: 13,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.70 : 41,853.20 = 9,184.28 : x
  2. Step 2: Convert to fraction form
    27,907.70/41,853.20 = 9,184.28/x
  3. Step 3: Cross multiply
    27,907.70x = 41,853.20 × 9,184.28
  4. Step 4: Simplify right side
    27,907.70x = 384,391,507.70
  5. Step 5: Solve for x
    x = 384,391,507.70/27,907.70
  6. Step 6: Final answer
    x = 13,773.67

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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.