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Finding the Fourth Proportional to 13,225.50, 19,838.97 and 3,992.22

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Solution

The fourth proportional to 13,225.50, 19,838.97 and 3,992.22 is: 5,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.50 : 19,838.97 = 3,992.22 : x
  2. Step 2: Convert to fraction form
    13,225.50/19,838.97 = 3,992.22/x
  3. Step 3: Cross multiply
    13,225.50x = 19,838.97 × 3,992.22
  4. Step 4: Simplify right side
    13,225.50x = 79,201,532.81
  5. Step 5: Solve for x
    x = 79,201,532.81/13,225.50
  6. Step 6: Final answer
    x = 5,988.55

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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.