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Finding the Fourth Proportional to 16,431.57, 24,647.49 and 7,070.94

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Solution

The fourth proportional to 16,431.57, 24,647.49 and 7,070.94 is: 10,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.57 : 24,647.49 = 7,070.94 : x
  2. Step 2: Convert to fraction form
    16,431.57/24,647.49 = 7,070.94/x
  3. Step 3: Cross multiply
    16,431.57x = 24,647.49 × 7,070.94
  4. Step 4: Simplify right side
    16,431.57x = 174,280,922.94
  5. Step 5: Solve for x
    x = 174,280,922.94/16,431.57
  6. Step 6: Final answer
    x = 10,606.47

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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.