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Finding the Fourth Proportional to 30,246, 41,746.08 and 16,821.84

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Solution

The fourth proportional to 30,246, 41,746.08 and 16,821.84 is: 23,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246 : 41,746.08 = 16,821.84 : x
  2. Step 2: Convert to fraction form
    30,246/41,746.08 = 16,821.84/x
  3. Step 3: Cross multiply
    30,246x = 41,746.08 × 16,821.84
  4. Step 4: Simplify right side
    30,246x = 702,245,878.39
  5. Step 5: Solve for x
    x = 702,245,878.39/30,246
  6. Step 6: Final answer
    x = 23,217.81

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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.