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Finding the Fourth Proportional to 24,282.37, 33,509.16 and 13,527.22

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Solution

The fourth proportional to 24,282.37, 33,509.16 and 13,527.22 is: 18,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.37 : 33,509.16 = 13,527.22 : x
  2. Step 2: Convert to fraction form
    24,282.37/33,509.16 = 13,527.22/x
  3. Step 3: Cross multiply
    24,282.37x = 33,509.16 × 13,527.22
  4. Step 4: Simplify right side
    24,282.37x = 453,285,867.82
  5. Step 5: Solve for x
    x = 453,285,867.82/24,282.37
  6. Step 6: Final answer
    x = 18,667.29

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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.