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Finding the Fourth Proportional to 24,187.69, 33,378.74 and 13,577.05

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Solution

The fourth proportional to 24,187.69, 33,378.74 and 13,577.05 is: 18,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.69 : 33,378.74 = 13,577.05 : x
  2. Step 2: Convert to fraction form
    24,187.69/33,378.74 = 13,577.05/x
  3. Step 3: Cross multiply
    24,187.69x = 33,378.74 × 13,577.05
  4. Step 4: Simplify right side
    24,187.69x = 453,184,754.03
  5. Step 5: Solve for x
    x = 453,184,754.03/24,187.69
  6. Step 6: Final answer
    x = 18,736.17

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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.