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Finding the Fourth Proportional to 27,782.95, 41,678.75 and 9,058.65

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Solution

The fourth proportional to 27,782.95, 41,678.75 and 9,058.65 is: 13,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.95 : 41,678.75 = 9,058.65 : x
  2. Step 2: Convert to fraction form
    27,782.95/41,678.75 = 9,058.65/x
  3. Step 3: Cross multiply
    27,782.95x = 41,678.75 × 9,058.65
  4. Step 4: Simplify right side
    27,782.95x = 377,553,208.69
  5. Step 5: Solve for x
    x = 377,553,208.69/27,782.95
  6. Step 6: Final answer
    x = 13,589.39

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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.