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Finding the Fourth Proportional to 14,417, 21,633.90 and 6,096.52

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Solution

The fourth proportional to 14,417, 21,633.90 and 6,096.52 is: 9,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417 : 21,633.90 = 6,096.52 : x
  2. Step 2: Convert to fraction form
    14,417/21,633.90 = 6,096.52/x
  3. Step 3: Cross multiply
    14,417x = 21,633.90 × 6,096.52
  4. Step 4: Simplify right side
    14,417x = 131,891,504.03
  5. Step 5: Solve for x
    x = 131,891,504.03/14,417
  6. Step 6: Final answer
    x = 9,148.33

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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.