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Finding the Fourth Proportional to 30,966, 42,733.86 and 16,818.84

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Solution

The fourth proportional to 30,966, 42,733.86 and 16,818.84 is: 23,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966 : 42,733.86 = 16,818.84 : x
  2. Step 2: Convert to fraction form
    30,966/42,733.86 = 16,818.84/x
  3. Step 3: Cross multiply
    30,966x = 42,733.86 × 16,818.84
  4. Step 4: Simplify right side
    30,966x = 718,733,953.92
  5. Step 5: Solve for x
    x = 718,733,953.92/30,966
  6. Step 6: Final answer
    x = 23,210.42

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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.