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Finding the Fourth Proportional to 19,216.50, 28,824.75 and 5,365.50

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Solution

The fourth proportional to 19,216.50, 28,824.75 and 5,365.50 is: 8,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216.50 : 28,824.75 = 5,365.50 : x
  2. Step 2: Convert to fraction form
    19,216.50/28,824.75 = 5,365.50/x
  3. Step 3: Cross multiply
    19,216.50x = 28,824.75 × 5,365.50
  4. Step 4: Simplify right side
    19,216.50x = 154,659,196.13
  5. Step 5: Solve for x
    x = 154,659,196.13/19,216.50
  6. Step 6: Final answer
    x = 8,048.25

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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.