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Finding the Fourth Proportional to 17,774.36, 26,623.20 and 8,400.23

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Solution

The fourth proportional to 17,774.36, 26,623.20 and 8,400.23 is: 12,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.36 : 26,623.20 = 8,400.23 : x
  2. Step 2: Convert to fraction form
    17,774.36/26,623.20 = 8,400.23/x
  3. Step 3: Cross multiply
    17,774.36x = 26,623.20 × 8,400.23
  4. Step 4: Simplify right side
    17,774.36x = 223,641,003.34
  5. Step 5: Solve for x
    x = 223,641,003.34/17,774.36
  6. Step 6: Final answer
    x = 12,582.23

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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.