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Finding the Fourth Proportional to 13,806.63, 19,053.35 and 7,519

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Solution

The fourth proportional to 13,806.63, 19,053.35 and 7,519 is: 10,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.63 : 19,053.35 = 7,519 : x
  2. Step 2: Convert to fraction form
    13,806.63/19,053.35 = 7,519/x
  3. Step 3: Cross multiply
    13,806.63x = 19,053.35 × 7,519
  4. Step 4: Simplify right side
    13,806.63x = 143,262,138.65
  5. Step 5: Solve for x
    x = 143,262,138.65/13,806.63
  6. Step 6: Final answer
    x = 10,376.33

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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.