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Finding the Fourth Proportional to 25,684.50, 38,533.26 and 7,216.50

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Solution

The fourth proportional to 25,684.50, 38,533.26 and 7,216.50 is: 10,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684.50 : 38,533.26 = 7,216.50 : x
  2. Step 2: Convert to fraction form
    25,684.50/38,533.26 = 7,216.50/x
  3. Step 3: Cross multiply
    25,684.50x = 38,533.26 × 7,216.50
  4. Step 4: Simplify right side
    25,684.50x = 278,075,270.79
  5. Step 5: Solve for x
    x = 278,075,270.79/25,684.50
  6. Step 6: Final answer
    x = 10,826.58

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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.