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Finding the Fourth Proportional to 23,659, 35,488.50 and 13,271.56

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Solution

The fourth proportional to 23,659, 35,488.50 and 13,271.56 is: 19,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,659 : 35,488.50 = 13,271.56 : x
  2. Step 2: Convert to fraction form
    23,659/35,488.50 = 13,271.56/x
  3. Step 3: Cross multiply
    23,659x = 35,488.50 × 13,271.56
  4. Step 4: Simplify right side
    23,659x = 470,987,757.06
  5. Step 5: Solve for x
    x = 470,987,757.06/23,659
  6. Step 6: Final answer
    x = 19,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.