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Finding the Fourth Proportional to 16,857.96, 23,263.14 and 9,404.52

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Solution

The fourth proportional to 16,857.96, 23,263.14 and 9,404.52 is: 12,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.96 : 23,263.14 = 9,404.52 : x
  2. Step 2: Convert to fraction form
    16,857.96/23,263.14 = 9,404.52/x
  3. Step 3: Cross multiply
    16,857.96x = 23,263.14 × 9,404.52
  4. Step 4: Simplify right side
    16,857.96x = 218,778,665.39
  5. Step 5: Solve for x
    x = 218,778,665.39/16,857.96
  6. Step 6: Final answer
    x = 12,977.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.