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Finding the Fourth Proportional to 24,551.71, 36,833.23 and 7,683.76

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Solution

The fourth proportional to 24,551.71, 36,833.23 and 7,683.76 is: 11,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.71 : 36,833.23 = 7,683.76 : x
  2. Step 2: Convert to fraction form
    24,551.71/36,833.23 = 7,683.76/x
  3. Step 3: Cross multiply
    24,551.71x = 36,833.23 × 7,683.76
  4. Step 4: Simplify right side
    24,551.71x = 283,017,754.99
  5. Step 5: Solve for x
    x = 283,017,754.99/24,551.71
  6. Step 6: Final answer
    x = 11,527.42

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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.