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Finding the Fourth Proportional to 15,334.18, 22,978.44 and 7,928.75

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Solution

The fourth proportional to 15,334.18, 22,978.44 and 7,928.75 is: 11,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334.18 : 22,978.44 = 7,928.75 : x
  2. Step 2: Convert to fraction form
    15,334.18/22,978.44 = 7,928.75/x
  3. Step 3: Cross multiply
    15,334.18x = 22,978.44 × 7,928.75
  4. Step 4: Simplify right side
    15,334.18x = 182,190,363.60
  5. Step 5: Solve for x
    x = 182,190,363.60/15,334.18
  6. Step 6: Final answer
    x = 11,881.33

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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.