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Finding the Fourth Proportional to 24,428.34, 36,647.37 and 7,787.84

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Solution

The fourth proportional to 24,428.34, 36,647.37 and 7,787.84 is: 11,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.34 : 36,647.37 = 7,787.84 : x
  2. Step 2: Convert to fraction form
    24,428.34/36,647.37 = 7,787.84/x
  3. Step 3: Cross multiply
    24,428.34x = 36,647.37 × 7,787.84
  4. Step 4: Simplify right side
    24,428.34x = 285,403,670.74
  5. Step 5: Solve for x
    x = 285,403,670.74/24,428.34
  6. Step 6: Final answer
    x = 11,683.30

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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.