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Finding the Fourth Proportional to 17,238.50, 23,788.50 and 10,535.35

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Solution

The fourth proportional to 17,238.50, 23,788.50 and 10,535.35 is: 14,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.50 : 23,788.50 = 10,535.35 : x
  2. Step 2: Convert to fraction form
    17,238.50/23,788.50 = 10,535.35/x
  3. Step 3: Cross multiply
    17,238.50x = 23,788.50 × 10,535.35
  4. Step 4: Simplify right side
    17,238.50x = 250,620,178.36
  5. Step 5: Solve for x
    x = 250,620,178.36/17,238.50
  6. Step 6: Final answer
    x = 14,538.39

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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.