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Finding the Fourth Proportional to 26,605, 39,907.56 and 11,023

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Solution

The fourth proportional to 26,605, 39,907.56 and 11,023 is: 16,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605 : 39,907.56 = 11,023 : x
  2. Step 2: Convert to fraction form
    26,605/39,907.56 = 11,023/x
  3. Step 3: Cross multiply
    26,605x = 39,907.56 × 11,023
  4. Step 4: Simplify right side
    26,605x = 439,901,033.88
  5. Step 5: Solve for x
    x = 439,901,033.88/26,605
  6. Step 6: Final answer
    x = 16,534.52

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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.