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Finding the Fourth Proportional to 26,907.44, 40,361.25 and 9,365

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Solution

The fourth proportional to 26,907.44, 40,361.25 and 9,365 is: 14,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.44 : 40,361.25 = 9,365 : x
  2. Step 2: Convert to fraction form
    26,907.44/40,361.25 = 9,365/x
  3. Step 3: Cross multiply
    26,907.44x = 40,361.25 × 9,365
  4. Step 4: Simplify right side
    26,907.44x = 377,983,106.25
  5. Step 5: Solve for x
    x = 377,983,106.25/26,907.44
  6. Step 6: Final answer
    x = 14,047.53

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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.