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Finding the Fourth Proportional to 26,604, 39,884.16 and 11,032.80

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Solution

The fourth proportional to 26,604, 39,884.16 and 11,032.80 is: 16,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604 : 39,884.16 = 11,032.80 : x
  2. Step 2: Convert to fraction form
    26,604/39,884.16 = 11,032.80/x
  3. Step 3: Cross multiply
    26,604x = 39,884.16 × 11,032.80
  4. Step 4: Simplify right side
    26,604x = 440,033,960.45
  5. Step 5: Solve for x
    x = 440,033,960.45/26,604
  6. Step 6: Final answer
    x = 16,540.14

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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.