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Finding the Fourth Proportional to 24,302.56, 33,533.04 and 14,230.48

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Solution

The fourth proportional to 24,302.56, 33,533.04 and 14,230.48 is: 19,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.56 : 33,533.04 = 14,230.48 : x
  2. Step 2: Convert to fraction form
    24,302.56/33,533.04 = 14,230.48/x
  3. Step 3: Cross multiply
    24,302.56x = 33,533.04 × 14,230.48
  4. Step 4: Simplify right side
    24,302.56x = 477,191,255.06
  5. Step 5: Solve for x
    x = 477,191,255.06/24,302.56
  6. Step 6: Final answer
    x = 19,635.43

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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.