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Finding the Fourth Proportional to 16,970.69, 25,449.96 and 5,874.40

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Solution

The fourth proportional to 16,970.69, 25,449.96 and 5,874.40 is: 8,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.69 : 25,449.96 = 5,874.40 : x
  2. Step 2: Convert to fraction form
    16,970.69/25,449.96 = 5,874.40/x
  3. Step 3: Cross multiply
    16,970.69x = 25,449.96 × 5,874.40
  4. Step 4: Simplify right side
    16,970.69x = 149,503,245.02
  5. Step 5: Solve for x
    x = 149,503,245.02/16,970.69
  6. Step 6: Final answer
    x = 8,809.50

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Why These Related Problems?

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