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Finding the Fourth Proportional to 17,783.50, 26,684.97 and 8,549.50

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Solution

The fourth proportional to 17,783.50, 26,684.97 and 8,549.50 is: 12,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.50 : 26,684.97 = 8,549.50 : x
  2. Step 2: Convert to fraction form
    17,783.50/26,684.97 = 8,549.50/x
  3. Step 3: Cross multiply
    17,783.50x = 26,684.97 × 8,549.50
  4. Step 4: Simplify right side
    17,783.50x = 228,143,151.02
  5. Step 5: Solve for x
    x = 228,143,151.02/17,783.50
  6. Step 6: Final answer
    x = 12,828.92

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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.