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Finding the Fourth Proportional to 24,113, 36,188.94 and 12,429.56

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Solution

The fourth proportional to 24,113, 36,188.94 and 12,429.56 is: 18,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113 : 36,188.94 = 12,429.56 : x
  2. Step 2: Convert to fraction form
    24,113/36,188.94 = 12,429.56/x
  3. Step 3: Cross multiply
    24,113x = 36,188.94 × 12,429.56
  4. Step 4: Simplify right side
    24,113x = 449,812,601.07
  5. Step 5: Solve for x
    x = 449,812,601.07/24,113
  6. Step 6: Final answer
    x = 18,654.36

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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.