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Finding the Fourth Proportional to 19,483.38, 29,222.19 and 7,168.50

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Solution

The fourth proportional to 19,483.38, 29,222.19 and 7,168.50 is: 10,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483.38 : 29,222.19 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    19,483.38/29,222.19 = 7,168.50/x
  3. Step 3: Cross multiply
    19,483.38x = 29,222.19 × 7,168.50
  4. Step 4: Simplify right side
    19,483.38x = 209,479,269.02
  5. Step 5: Solve for x
    x = 209,479,269.02/19,483.38
  6. Step 6: Final answer
    x = 10,751.69

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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.