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Finding the Fourth Proportional to 30,954.76, 42,717.59 and 16,807.84

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Solution

The fourth proportional to 30,954.76, 42,717.59 and 16,807.84 is: 23,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.76 : 42,717.59 = 16,807.84 : x
  2. Step 2: Convert to fraction form
    30,954.76/42,717.59 = 16,807.84/x
  3. Step 3: Cross multiply
    30,954.76x = 42,717.59 × 16,807.84
  4. Step 4: Simplify right side
    30,954.76x = 717,990,417.91
  5. Step 5: Solve for x
    x = 717,990,417.91/30,954.76
  6. Step 6: Final answer
    x = 23,194.83

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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.