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Finding the Fourth Proportional to 19,698.68, 29,541.19 and 5,654.90

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Solution

The fourth proportional to 19,698.68, 29,541.19 and 5,654.90 is: 8,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.68 : 29,541.19 = 5,654.90 : x
  2. Step 2: Convert to fraction form
    19,698.68/29,541.19 = 5,654.90/x
  3. Step 3: Cross multiply
    19,698.68x = 29,541.19 × 5,654.90
  4. Step 4: Simplify right side
    19,698.68x = 167,052,475.33
  5. Step 5: Solve for x
    x = 167,052,475.33/19,698.68
  6. Step 6: Final answer
    x = 8,480.39

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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.