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Finding the Fourth Proportional to 16,245.83, 24,369.62 and 5,153.40

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Solution

The fourth proportional to 16,245.83, 24,369.62 and 5,153.40 is: 7,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.83 : 24,369.62 = 5,153.40 : x
  2. Step 2: Convert to fraction form
    16,245.83/24,369.62 = 5,153.40/x
  3. Step 3: Cross multiply
    16,245.83x = 24,369.62 × 5,153.40
  4. Step 4: Simplify right side
    16,245.83x = 125,586,373.94
  5. Step 5: Solve for x
    x = 125,586,373.94/16,245.83
  6. Step 6: Final answer
    x = 7,730.38

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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.