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Finding the Fourth Proportional to 24,713.45, 37,075.64 and 7,181.81

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Solution

The fourth proportional to 24,713.45, 37,075.64 and 7,181.81 is: 10,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.45 : 37,075.64 = 7,181.81 : x
  2. Step 2: Convert to fraction form
    24,713.45/37,075.64 = 7,181.81/x
  3. Step 3: Cross multiply
    24,713.45x = 37,075.64 × 7,181.81
  4. Step 4: Simplify right side
    24,713.45x = 266,269,980.82
  5. Step 5: Solve for x
    x = 266,269,980.82/24,713.45
  6. Step 6: Final answer
    x = 10,774.30

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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.