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Finding the Fourth Proportional to 16,894.96, 25,353.37 and 9,513.83

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Solution

The fourth proportional to 16,894.96, 25,353.37 and 9,513.83 is: 14,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.96 : 25,353.37 = 9,513.83 : x
  2. Step 2: Convert to fraction form
    16,894.96/25,353.37 = 9,513.83/x
  3. Step 3: Cross multiply
    16,894.96x = 25,353.37 × 9,513.83
  4. Step 4: Simplify right side
    16,894.96x = 241,207,652.11
  5. Step 5: Solve for x
    x = 241,207,652.11/16,894.96
  6. Step 6: Final answer
    x = 14,276.90

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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.