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Finding the Fourth Proportional to 18,978.54, 28,471.46 and 6,500.49

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Solution

The fourth proportional to 18,978.54, 28,471.46 and 6,500.49 is: 9,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.54 : 28,471.46 = 6,500.49 : x
  2. Step 2: Convert to fraction form
    18,978.54/28,471.46 = 6,500.49/x
  3. Step 3: Cross multiply
    18,978.54x = 28,471.46 × 6,500.49
  4. Step 4: Simplify right side
    18,978.54x = 185,078,408.51
  5. Step 5: Solve for x
    x = 185,078,408.51/18,978.54
  6. Step 6: Final answer
    x = 9,751.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.