Home / 23,214-32,039.37-13,782.36

Finding the Fourth Proportional to 23,214, 32,039.37 and 13,782.36

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Solution

The fourth proportional to 23,214, 32,039.37 and 13,782.36 is: 19,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 32,039.37 = 13,782.36 : x
  2. Step 2: Convert to fraction form
    23,214/32,039.37 = 13,782.36/x
  3. Step 3: Cross multiply
    23,214x = 32,039.37 × 13,782.36
  4. Step 4: Simplify right side
    23,214x = 441,578,131.51
  5. Step 5: Solve for x
    x = 441,578,131.51/23,214
  6. Step 6: Final answer
    x = 19,022.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.