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Finding the Fourth Proportional to 14,611.95, 21,918.24 and 4,751.22

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Solution

The fourth proportional to 14,611.95, 21,918.24 and 4,751.22 is: 7,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.95 : 21,918.24 = 4,751.22 : x
  2. Step 2: Convert to fraction form
    14,611.95/21,918.24 = 4,751.22/x
  3. Step 3: Cross multiply
    14,611.95x = 21,918.24 × 4,751.22
  4. Step 4: Simplify right side
    14,611.95x = 104,138,380.25
  5. Step 5: Solve for x
    x = 104,138,380.25/14,611.95
  6. Step 6: Final answer
    x = 7,126.93

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Why These Related Problems?

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