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Finding the Fourth Proportional to 19,201.50, 28,802.25 and 4,609.50

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Solution

The fourth proportional to 19,201.50, 28,802.25 and 4,609.50 is: 6,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.50 : 28,802.25 = 4,609.50 : x
  2. Step 2: Convert to fraction form
    19,201.50/28,802.25 = 4,609.50/x
  3. Step 3: Cross multiply
    19,201.50x = 28,802.25 × 4,609.50
  4. Step 4: Simplify right side
    19,201.50x = 132,763,971.38
  5. Step 5: Solve for x
    x = 132,763,971.38/19,201.50
  6. Step 6: Final answer
    x = 6,914.25

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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.