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Finding the Fourth Proportional to 16,433.84, 24,654 and 4,747.16

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Solution

The fourth proportional to 16,433.84, 24,654 and 4,747.16 is: 7,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.84 : 24,654 = 4,747.16 : x
  2. Step 2: Convert to fraction form
    16,433.84/24,654 = 4,747.16/x
  3. Step 3: Cross multiply
    16,433.84x = 24,654 × 4,747.16
  4. Step 4: Simplify right side
    16,433.84x = 117,036,482.64
  5. Step 5: Solve for x
    x = 117,036,482.64/16,433.84
  6. Step 6: Final answer
    x = 7,121.68

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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.