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Finding the Fourth Proportional to 12,538.52, 18,755.78 and 9,554.40

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Solution

The fourth proportional to 12,538.52, 18,755.78 and 9,554.40 is: 14,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.52 : 18,755.78 = 9,554.40 : x
  2. Step 2: Convert to fraction form
    12,538.52/18,755.78 = 9,554.40/x
  3. Step 3: Cross multiply
    12,538.52x = 18,755.78 × 9,554.40
  4. Step 4: Simplify right side
    12,538.52x = 179,200,224.43
  5. Step 5: Solve for x
    x = 179,200,224.43/12,538.52
  6. Step 6: Final answer
    x = 14,291.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.