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Finding the Fourth Proportional to 13,381.88, 20,075.54 and 4,615.65

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Solution

The fourth proportional to 13,381.88, 20,075.54 and 4,615.65 is: 6,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.88 : 20,075.54 = 4,615.65 : x
  2. Step 2: Convert to fraction form
    13,381.88/20,075.54 = 4,615.65/x
  3. Step 3: Cross multiply
    13,381.88x = 20,075.54 × 4,615.65
  4. Step 4: Simplify right side
    13,381.88x = 92,661,643.12
  5. Step 5: Solve for x
    x = 92,661,643.12/13,381.88
  6. Step 6: Final answer
    x = 6,924.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.