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Finding the Fourth Proportional to 16,492.86, 24,729.31 and 6,485.61

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Solution

The fourth proportional to 16,492.86, 24,729.31 and 6,485.61 is: 9,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.86 : 24,729.31 = 6,485.61 : x
  2. Step 2: Convert to fraction form
    16,492.86/24,729.31 = 6,485.61/x
  3. Step 3: Cross multiply
    16,492.86x = 24,729.31 × 6,485.61
  4. Step 4: Simplify right side
    16,492.86x = 160,384,644.02
  5. Step 5: Solve for x
    x = 160,384,644.02/16,492.86
  6. Step 6: Final answer
    x = 9,724.49

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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.