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Finding the Fourth Proportional to 25,185.96, 37,744.92 and 9,595.08

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Solution

The fourth proportional to 25,185.96, 37,744.92 and 9,595.08 is: 14,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.96 : 37,744.92 = 9,595.08 : x
  2. Step 2: Convert to fraction form
    25,185.96/37,744.92 = 9,595.08/x
  3. Step 3: Cross multiply
    25,185.96x = 37,744.92 × 9,595.08
  4. Step 4: Simplify right side
    25,185.96x = 362,165,526.99
  5. Step 5: Solve for x
    x = 362,165,526.99/25,185.96
  6. Step 6: Final answer
    x = 14,379.66

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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.