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Finding the Fourth Proportional to 25,537.56, 38,291.63 and 9,936.96

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Solution

The fourth proportional to 25,537.56, 38,291.63 and 9,936.96 is: 14,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.56 : 38,291.63 = 9,936.96 : x
  2. Step 2: Convert to fraction form
    25,537.56/38,291.63 = 9,936.96/x
  3. Step 3: Cross multiply
    25,537.56x = 38,291.63 × 9,936.96
  4. Step 4: Simplify right side
    25,537.56x = 380,502,345.96
  5. Step 5: Solve for x
    x = 380,502,345.96/25,537.56
  6. Step 6: Final answer
    x = 14,899.71

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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.