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Finding the Fourth Proportional to 27,782.70, 41,678.37 and 9,058.40

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Solution

The fourth proportional to 27,782.70, 41,678.37 and 9,058.40 is: 13,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.70 : 41,678.37 = 9,058.40 : x
  2. Step 2: Convert to fraction form
    27,782.70/41,678.37 = 9,058.40/x
  3. Step 3: Cross multiply
    27,782.70x = 41,678.37 × 9,058.40
  4. Step 4: Simplify right side
    27,782.70x = 377,539,138.42
  5. Step 5: Solve for x
    x = 377,539,138.42/27,782.70
  6. Step 6: Final answer
    x = 13,589.00

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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.