Home / 13,830.63-19,086.26-7,543

Finding the Fourth Proportional to 13,830.63, 19,086.26 and 7,543

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Solution

The fourth proportional to 13,830.63, 19,086.26 and 7,543 is: 10,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.63 : 19,086.26 = 7,543 : x
  2. Step 2: Convert to fraction form
    13,830.63/19,086.26 = 7,543/x
  3. Step 3: Cross multiply
    13,830.63x = 19,086.26 × 7,543
  4. Step 4: Simplify right side
    13,830.63x = 143,967,659.18
  5. Step 5: Solve for x
    x = 143,967,659.18/13,830.63
  6. Step 6: Final answer
    x = 10,409.33

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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.