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Finding the Fourth Proportional to 16,594.74, 24,880.14 and 7,821

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Solution

The fourth proportional to 16,594.74, 24,880.14 and 7,821 is: 11,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.74 : 24,880.14 = 7,821 : x
  2. Step 2: Convert to fraction form
    16,594.74/24,880.14 = 7,821/x
  3. Step 3: Cross multiply
    16,594.74x = 24,880.14 × 7,821
  4. Step 4: Simplify right side
    16,594.74x = 194,587,574.94
  5. Step 5: Solve for x
    x = 194,587,574.94/16,594.74
  6. Step 6: Final answer
    x = 11,725.86

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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.