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Finding the Fourth Proportional to 14,750.33, 22,138.19 and 7,735.23

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Solution

The fourth proportional to 14,750.33, 22,138.19 and 7,735.23 is: 11,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.33 : 22,138.19 = 7,735.23 : x
  2. Step 2: Convert to fraction form
    14,750.33/22,138.19 = 7,735.23/x
  3. Step 3: Cross multiply
    14,750.33x = 22,138.19 × 7,735.23
  4. Step 4: Simplify right side
    14,750.33x = 171,243,842.07
  5. Step 5: Solve for x
    x = 171,243,842.07/14,750.33
  6. Step 6: Final answer
    x = 11,609.49

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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.