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Finding the Fourth Proportional to 15,496.65, 23,235.74 and 6,138.02

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Solution

The fourth proportional to 15,496.65, 23,235.74 and 6,138.02 is: 9,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.65 : 23,235.74 = 6,138.02 : x
  2. Step 2: Convert to fraction form
    15,496.65/23,235.74 = 6,138.02/x
  3. Step 3: Cross multiply
    15,496.65x = 23,235.74 × 6,138.02
  4. Step 4: Simplify right side
    15,496.65x = 142,621,436.83
  5. Step 5: Solve for x
    x = 142,621,436.83/15,496.65
  6. Step 6: Final answer
    x = 9,203.37

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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.