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Finding the Fourth Proportional to 19,409.12, 26,782.08 and 11,024

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Solution

The fourth proportional to 19,409.12, 26,782.08 and 11,024 is: 15,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.12 : 26,782.08 = 11,024 : x
  2. Step 2: Convert to fraction form
    19,409.12/26,782.08 = 11,024/x
  3. Step 3: Cross multiply
    19,409.12x = 26,782.08 × 11,024
  4. Step 4: Simplify right side
    19,409.12x = 295,245,649.92
  5. Step 5: Solve for x
    x = 295,245,649.92/19,409.12
  6. Step 6: Final answer
    x = 15,211.70

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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.