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Finding the Fourth Proportional to 26,668, 39,980.40 and 11,097.28

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Solution

The fourth proportional to 26,668, 39,980.40 and 11,097.28 is: 16,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668 : 39,980.40 = 11,097.28 : x
  2. Step 2: Convert to fraction form
    26,668/39,980.40 = 11,097.28/x
  3. Step 3: Cross multiply
    26,668x = 39,980.40 × 11,097.28
  4. Step 4: Simplify right side
    26,668x = 443,673,693.31
  5. Step 5: Solve for x
    x = 443,673,693.31/26,668
  6. Step 6: Final answer
    x = 16,636.93

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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.