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Finding the Fourth Proportional to 16,383.84, 24,576.68 and 4,696.75

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Solution

The fourth proportional to 16,383.84, 24,576.68 and 4,696.75 is: 7,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.84 : 24,576.68 = 4,696.75 : x
  2. Step 2: Convert to fraction form
    16,383.84/24,576.68 = 4,696.75/x
  3. Step 3: Cross multiply
    16,383.84x = 24,576.68 × 4,696.75
  4. Step 4: Simplify right side
    16,383.84x = 115,430,521.79
  5. Step 5: Solve for x
    x = 115,430,521.79/16,383.84
  6. Step 6: Final answer
    x = 7,045.39

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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.