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Finding the Fourth Proportional to 15,075.51, 20,803.98 and 8,361.15

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Solution

The fourth proportional to 15,075.51, 20,803.98 and 8,361.15 is: 11,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.51 : 20,803.98 = 8,361.15 : x
  2. Step 2: Convert to fraction form
    15,075.51/20,803.98 = 8,361.15/x
  3. Step 3: Cross multiply
    15,075.51x = 20,803.98 × 8,361.15
  4. Step 4: Simplify right side
    15,075.51x = 173,945,197.38
  5. Step 5: Solve for x
    x = 173,945,197.38/15,075.51
  6. Step 6: Final answer
    x = 11,538.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.