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Finding the Fourth Proportional to 19,409.50, 26,785.12 and 11,026

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Solution

The fourth proportional to 19,409.50, 26,785.12 and 11,026 is: 15,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.50 : 26,785.12 = 11,026 : x
  2. Step 2: Convert to fraction form
    19,409.50/26,785.12 = 11,026/x
  3. Step 3: Cross multiply
    19,409.50x = 26,785.12 × 11,026
  4. Step 4: Simplify right side
    19,409.50x = 295,332,733.12
  5. Step 5: Solve for x
    x = 295,332,733.12/19,409.50
  6. Step 6: Final answer
    x = 15,215.89

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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.