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Finding the Fourth Proportional to 16,416.16, 24,634.02 and 6,553.96

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Solution

The fourth proportional to 16,416.16, 24,634.02 and 6,553.96 is: 9,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.16 : 24,634.02 = 6,553.96 : x
  2. Step 2: Convert to fraction form
    16,416.16/24,634.02 = 6,553.96/x
  3. Step 3: Cross multiply
    16,416.16x = 24,634.02 × 6,553.96
  4. Step 4: Simplify right side
    16,416.16x = 161,450,381.72
  5. Step 5: Solve for x
    x = 161,450,381.72/16,416.16
  6. Step 6: Final answer
    x = 9,834.84

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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.