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Finding the Fourth Proportional to 17,051.85, 25,582.23 and 5,205.33

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Solution

The fourth proportional to 17,051.85, 25,582.23 and 5,205.33 is: 7,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.85 : 25,582.23 = 5,205.33 : x
  2. Step 2: Convert to fraction form
    17,051.85/25,582.23 = 5,205.33/x
  3. Step 3: Cross multiply
    17,051.85x = 25,582.23 × 5,205.33
  4. Step 4: Simplify right side
    17,051.85x = 133,163,949.29
  5. Step 5: Solve for x
    x = 133,163,949.29/17,051.85
  6. Step 6: Final answer
    x = 7,809.35

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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.