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Finding the Fourth Proportional to 16,383.25, 24,574.88 and 4,071.25

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Solution

The fourth proportional to 16,383.25, 24,574.88 and 4,071.25 is: 6,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.25 : 24,574.88 = 4,071.25 : x
  2. Step 2: Convert to fraction form
    16,383.25/24,574.88 = 4,071.25/x
  3. Step 3: Cross multiply
    16,383.25x = 24,574.88 × 4,071.25
  4. Step 4: Simplify right side
    16,383.25x = 100,050,480.20
  5. Step 5: Solve for x
    x = 100,050,480.20/16,383.25
  6. Step 6: Final answer
    x = 6,106.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.