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Finding the Fourth Proportional to 15,782.37, 23,651 and 11,589.49

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Solution

The fourth proportional to 15,782.37, 23,651 and 11,589.49 is: 17,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.37 : 23,651 = 11,589.49 : x
  2. Step 2: Convert to fraction form
    15,782.37/23,651 = 11,589.49/x
  3. Step 3: Cross multiply
    15,782.37x = 23,651 × 11,589.49
  4. Step 4: Simplify right side
    15,782.37x = 274,102,909.74
  5. Step 5: Solve for x
    x = 274,102,909.74/15,782.37
  6. Step 6: Final answer
    x = 17,367.66

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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.