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Finding the Fourth Proportional to 14,133, 21,209.22 and 4,899

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Solution

The fourth proportional to 14,133, 21,209.22 and 4,899 is: 7,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133 : 21,209.22 = 4,899 : x
  2. Step 2: Convert to fraction form
    14,133/21,209.22 = 4,899/x
  3. Step 3: Cross multiply
    14,133x = 21,209.22 × 4,899
  4. Step 4: Simplify right side
    14,133x = 103,903,968.78
  5. Step 5: Solve for x
    x = 103,903,968.78/14,133
  6. Step 6: Final answer
    x = 7,351.87

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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.