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Finding the Fourth Proportional to 15,433.44, 23,131.94 and 6,657.50

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Solution

The fourth proportional to 15,433.44, 23,131.94 and 6,657.50 is: 9,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.44 : 23,131.94 = 6,657.50 : x
  2. Step 2: Convert to fraction form
    15,433.44/23,131.94 = 6,657.50/x
  3. Step 3: Cross multiply
    15,433.44x = 23,131.94 × 6,657.50
  4. Step 4: Simplify right side
    15,433.44x = 154,000,890.55
  5. Step 5: Solve for x
    x = 154,000,890.55/15,433.44
  6. Step 6: Final answer
    x = 9,978.39

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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.