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Finding the Fourth Proportional to 19,405.50, 26,779.59 and 11,022

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Solution

The fourth proportional to 19,405.50, 26,779.59 and 11,022 is: 15,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.50 : 26,779.59 = 11,022 : x
  2. Step 2: Convert to fraction form
    19,405.50/26,779.59 = 11,022/x
  3. Step 3: Cross multiply
    19,405.50x = 26,779.59 × 11,022
  4. Step 4: Simplify right side
    19,405.50x = 295,164,640.98
  5. Step 5: Solve for x
    x = 295,164,640.98/19,405.50
  6. Step 6: Final answer
    x = 15,210.36

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Why These Related Problems?

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