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Finding the Fourth Proportional to 14,608.42, 21,907.67 and 4,745.25

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Solution

The fourth proportional to 14,608.42, 21,907.67 and 4,745.25 is: 7,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.42 : 21,907.67 = 4,745.25 : x
  2. Step 2: Convert to fraction form
    14,608.42/21,907.67 = 4,745.25/x
  3. Step 3: Cross multiply
    14,608.42x = 21,907.67 × 4,745.25
  4. Step 4: Simplify right side
    14,608.42x = 103,957,347.34
  5. Step 5: Solve for x
    x = 103,957,347.34/14,608.42
  6. Step 6: Final answer
    x = 7,116.26

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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.