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Finding the Fourth Proportional to 18,997.50, 28,496.25 and 5,146.50

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Solution

The fourth proportional to 18,997.50, 28,496.25 and 5,146.50 is: 7,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997.50 : 28,496.25 = 5,146.50 : x
  2. Step 2: Convert to fraction form
    18,997.50/28,496.25 = 5,146.50/x
  3. Step 3: Cross multiply
    18,997.50x = 28,496.25 × 5,146.50
  4. Step 4: Simplify right side
    18,997.50x = 146,655,950.63
  5. Step 5: Solve for x
    x = 146,655,950.63/18,997.50
  6. Step 6: Final answer
    x = 7,719.75

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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.