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Finding the Fourth Proportional to 19,798.62, 29,693.25 and 5,754.90

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Solution

The fourth proportional to 19,798.62, 29,693.25 and 5,754.90 is: 8,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.62 : 29,693.25 = 5,754.90 : x
  2. Step 2: Convert to fraction form
    19,798.62/29,693.25 = 5,754.90/x
  3. Step 3: Cross multiply
    19,798.62x = 29,693.25 × 5,754.90
  4. Step 4: Simplify right side
    19,798.62x = 170,881,684.43
  5. Step 5: Solve for x
    x = 170,881,684.43/19,798.62
  6. Step 6: Final answer
    x = 8,630.99

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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.