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Finding the Fourth Proportional to 15,493.33, 23,223.74 and 7,584.94

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Solution

The fourth proportional to 15,493.33, 23,223.74 and 7,584.94 is: 11,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.33 : 23,223.74 = 7,584.94 : x
  2. Step 2: Convert to fraction form
    15,493.33/23,223.74 = 7,584.94/x
  3. Step 3: Cross multiply
    15,493.33x = 23,223.74 × 7,584.94
  4. Step 4: Simplify right side
    15,493.33x = 176,150,558.36
  5. Step 5: Solve for x
    x = 176,150,558.36/15,493.33
  6. Step 6: Final answer
    x = 11,369.45

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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.