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Finding the Fourth Proportional to 16,288.46, 24,432.62 and 4,601.64

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Solution

The fourth proportional to 16,288.46, 24,432.62 and 4,601.64 is: 6,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.46 : 24,432.62 = 4,601.64 : x
  2. Step 2: Convert to fraction form
    16,288.46/24,432.62 = 4,601.64/x
  3. Step 3: Cross multiply
    16,288.46x = 24,432.62 × 4,601.64
  4. Step 4: Simplify right side
    16,288.46x = 112,430,098.49
  5. Step 5: Solve for x
    x = 112,430,098.49/16,288.46
  6. Step 6: Final answer
    x = 6,902.44

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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.