Home / 27,971.34-41,956-13,196.54

Finding the Fourth Proportional to 27,971.34, 41,956 and 13,196.54

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Solution

The fourth proportional to 27,971.34, 41,956 and 13,196.54 is: 19,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.34 : 41,956 = 13,196.54 : x
  2. Step 2: Convert to fraction form
    27,971.34/41,956 = 13,196.54/x
  3. Step 3: Cross multiply
    27,971.34x = 41,956 × 13,196.54
  4. Step 4: Simplify right side
    27,971.34x = 553,674,032.24
  5. Step 5: Solve for x
    x = 553,674,032.24/27,971.34
  6. Step 6: Final answer
    x = 19,794.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.