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Finding the Fourth Proportional to 15,422.84, 23,137.16 and 6,189.56

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Solution

The fourth proportional to 15,422.84, 23,137.16 and 6,189.56 is: 9,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.84 : 23,137.16 = 6,189.56 : x
  2. Step 2: Convert to fraction form
    15,422.84/23,137.16 = 6,189.56/x
  3. Step 3: Cross multiply
    15,422.84x = 23,137.16 × 6,189.56
  4. Step 4: Simplify right side
    15,422.84x = 143,208,840.05
  5. Step 5: Solve for x
    x = 143,208,840.05/15,422.84
  6. Step 6: Final answer
    x = 9,285.50

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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.