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Finding the Fourth Proportional to 16,254.86, 24,389.34 and 5,732.40

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Solution

The fourth proportional to 16,254.86, 24,389.34 and 5,732.40 is: 8,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.86 : 24,389.34 = 5,732.40 : x
  2. Step 2: Convert to fraction form
    16,254.86/24,389.34 = 5,732.40/x
  3. Step 3: Cross multiply
    16,254.86x = 24,389.34 × 5,732.40
  4. Step 4: Simplify right side
    16,254.86x = 139,809,522.58
  5. Step 5: Solve for x
    x = 139,809,522.58/16,254.86
  6. Step 6: Final answer
    x = 8,601.09

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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.