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Finding the Fourth Proportional to 15,442.66, 23,163.99 and 6,206.50

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Solution

The fourth proportional to 15,442.66, 23,163.99 and 6,206.50 is: 9,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.66 : 23,163.99 = 6,206.50 : x
  2. Step 2: Convert to fraction form
    15,442.66/23,163.99 = 6,206.50/x
  3. Step 3: Cross multiply
    15,442.66x = 23,163.99 × 6,206.50
  4. Step 4: Simplify right side
    15,442.66x = 143,767,303.94
  5. Step 5: Solve for x
    x = 143,767,303.94/15,442.66
  6. Step 6: Final answer
    x = 9,309.75

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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.