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Finding the Fourth Proportional to 13,842.72, 20,751.80 and 5,075.62

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Solution

The fourth proportional to 13,842.72, 20,751.80 and 5,075.62 is: 7,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.72 : 20,751.80 = 5,075.62 : x
  2. Step 2: Convert to fraction form
    13,842.72/20,751.80 = 5,075.62/x
  3. Step 3: Cross multiply
    13,842.72x = 20,751.80 × 5,075.62
  4. Step 4: Simplify right side
    13,842.72x = 105,328,173.86
  5. Step 5: Solve for x
    x = 105,328,173.86/13,842.72
  6. Step 6: Final answer
    x = 7,608.92

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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.