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Finding the Fourth Proportional to 24,123.52, 33,289.86 and 13,513.08

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Solution

The fourth proportional to 24,123.52, 33,289.86 and 13,513.08 is: 18,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.52 : 33,289.86 = 13,513.08 : x
  2. Step 2: Convert to fraction form
    24,123.52/33,289.86 = 13,513.08/x
  3. Step 3: Cross multiply
    24,123.52x = 33,289.86 × 13,513.08
  4. Step 4: Simplify right side
    24,123.52x = 449,848,541.37
  5. Step 5: Solve for x
    x = 449,848,541.37/24,123.52
  6. Step 6: Final answer
    x = 18,647.72

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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.