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Finding the Fourth Proportional to 19,797.94, 29,693.20 and 9,934.57

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Solution

The fourth proportional to 19,797.94, 29,693.20 and 9,934.57 is: 14,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.94 : 29,693.20 = 9,934.57 : x
  2. Step 2: Convert to fraction form
    19,797.94/29,693.20 = 9,934.57/x
  3. Step 3: Cross multiply
    19,797.94x = 29,693.20 × 9,934.57
  4. Step 4: Simplify right side
    19,797.94x = 294,989,124.25
  5. Step 5: Solve for x
    x = 294,989,124.25/19,797.94
  6. Step 6: Final answer
    x = 14,899.99

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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.