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Finding the Fourth Proportional to 30,612.84, 42,244 and 17,182.88

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Solution

The fourth proportional to 30,612.84, 42,244 and 17,182.88 is: 23,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.84 : 42,244 = 17,182.88 : x
  2. Step 2: Convert to fraction form
    30,612.84/42,244 = 17,182.88/x
  3. Step 3: Cross multiply
    30,612.84x = 42,244 × 17,182.88
  4. Step 4: Simplify right side
    30,612.84x = 725,873,582.72
  5. Step 5: Solve for x
    x = 725,873,582.72/30,612.84
  6. Step 6: Final answer
    x = 23,711.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.