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Finding the Fourth Proportional to 25,454.49, 38,187.21 and 7,683.66

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Solution

The fourth proportional to 25,454.49, 38,187.21 and 7,683.66 is: 11,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454.49 : 38,187.21 = 7,683.66 : x
  2. Step 2: Convert to fraction form
    25,454.49/38,187.21 = 7,683.66/x
  3. Step 3: Cross multiply
    25,454.49x = 38,187.21 × 7,683.66
  4. Step 4: Simplify right side
    25,454.49x = 293,417,537.99
  5. Step 5: Solve for x
    x = 293,417,537.99/25,454.49
  6. Step 6: Final answer
    x = 11,527.14

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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.