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Finding the Fourth Proportional to 17,782.52, 24,529.32 and 11,498.60

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Solution

The fourth proportional to 17,782.52, 24,529.32 and 11,498.60 is: 15,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.52 : 24,529.32 = 11,498.60 : x
  2. Step 2: Convert to fraction form
    17,782.52/24,529.32 = 11,498.60/x
  3. Step 3: Cross multiply
    17,782.52x = 24,529.32 × 11,498.60
  4. Step 4: Simplify right side
    17,782.52x = 282,052,838.95
  5. Step 5: Solve for x
    x = 282,052,838.95/17,782.52
  6. Step 6: Final answer
    x = 15,861.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.