Home / 20,924-31,383.69-6,133.07

Finding the Fourth Proportional to 20,924, 31,383.69 and 6,133.07

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Solution

The fourth proportional to 20,924, 31,383.69 and 6,133.07 is: 9,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924 : 31,383.69 = 6,133.07 : x
  2. Step 2: Convert to fraction form
    20,924/31,383.69 = 6,133.07/x
  3. Step 3: Cross multiply
    20,924x = 31,383.69 × 6,133.07
  4. Step 4: Simplify right side
    20,924x = 192,478,367.63
  5. Step 5: Solve for x
    x = 192,478,367.63/20,924
  6. Step 6: Final answer
    x = 9,198.93

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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.