Home / 13,824-19,077.12-7,536.42

Finding the Fourth Proportional to 13,824, 19,077.12 and 7,536.42

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Solution

The fourth proportional to 13,824, 19,077.12 and 7,536.42 is: 10,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 19,077.12 = 7,536.42 : x
  2. Step 2: Convert to fraction form
    13,824/19,077.12 = 7,536.42/x
  3. Step 3: Cross multiply
    13,824x = 19,077.12 × 7,536.42
  4. Step 4: Simplify right side
    13,824x = 143,773,188.71
  5. Step 5: Solve for x
    x = 143,773,188.71/13,824
  6. Step 6: Final answer
    x = 10,400.26

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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.