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Finding the Fourth Proportional to 27,784.66, 41,679.54 and 9,059.89

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Solution

The fourth proportional to 27,784.66, 41,679.54 and 9,059.89 is: 13,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.66 : 41,679.54 = 9,059.89 : x
  2. Step 2: Convert to fraction form
    27,784.66/41,679.54 = 9,059.89/x
  3. Step 3: Cross multiply
    27,784.66x = 41,679.54 × 9,059.89
  4. Step 4: Simplify right side
    27,784.66x = 377,612,047.65
  5. Step 5: Solve for x
    x = 377,612,047.65/27,784.66
  6. Step 6: Final answer
    x = 13,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.