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Finding the Fourth Proportional to 27,964.69, 38,590.18 and 16,019.53

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Solution

The fourth proportional to 27,964.69, 38,590.18 and 16,019.53 is: 22,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964.69 : 38,590.18 = 16,019.53 : x
  2. Step 2: Convert to fraction form
    27,964.69/38,590.18 = 16,019.53/x
  3. Step 3: Cross multiply
    27,964.69x = 38,590.18 × 16,019.53
  4. Step 4: Simplify right side
    27,964.69x = 618,196,546.22
  5. Step 5: Solve for x
    x = 618,196,546.22/27,964.69
  6. Step 6: Final answer
    x = 22,106.33

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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.