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Finding the Fourth Proportional to 12,049.74, 18,075.33 and 4,654.25

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Solution

The fourth proportional to 12,049.74, 18,075.33 and 4,654.25 is: 6,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.74 : 18,075.33 = 4,654.25 : x
  2. Step 2: Convert to fraction form
    12,049.74/18,075.33 = 4,654.25/x
  3. Step 3: Cross multiply
    12,049.74x = 18,075.33 × 4,654.25
  4. Step 4: Simplify right side
    12,049.74x = 84,127,014.28
  5. Step 5: Solve for x
    x = 84,127,014.28/12,049.74
  6. Step 6: Final answer
    x = 6,981.65

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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.