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Finding the Fourth Proportional to 14,290.75, 19,709.06 and 11,301.39

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Solution

The fourth proportional to 14,290.75, 19,709.06 and 11,301.39 is: 15,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.75 : 19,709.06 = 11,301.39 : x
  2. Step 2: Convert to fraction form
    14,290.75/19,709.06 = 11,301.39/x
  3. Step 3: Cross multiply
    14,290.75x = 19,709.06 × 11,301.39
  4. Step 4: Simplify right side
    14,290.75x = 222,739,717.09
  5. Step 5: Solve for x
    x = 222,739,717.09/14,290.75
  6. Step 6: Final answer
    x = 15,586.29

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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.