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Finding the Fourth Proportional to 24,072.50, 33,219.86 and 13,462.14

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Solution

The fourth proportional to 24,072.50, 33,219.86 and 13,462.14 is: 18,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.50 : 33,219.86 = 13,462.14 : x
  2. Step 2: Convert to fraction form
    24,072.50/33,219.86 = 13,462.14/x
  3. Step 3: Cross multiply
    24,072.50x = 33,219.86 × 13,462.14
  4. Step 4: Simplify right side
    24,072.50x = 447,210,406.10
  5. Step 5: Solve for x
    x = 447,210,406.10/24,072.50
  6. Step 6: Final answer
    x = 18,577.65

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