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Finding the Fourth Proportional to 16,928.92, 23,363.36 and 9,856

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Solution

The fourth proportional to 16,928.92, 23,363.36 and 9,856 is: 13,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928.92 : 23,363.36 = 9,856 : x
  2. Step 2: Convert to fraction form
    16,928.92/23,363.36 = 9,856/x
  3. Step 3: Cross multiply
    16,928.92x = 23,363.36 × 9,856
  4. Step 4: Simplify right side
    16,928.92x = 230,269,276.16
  5. Step 5: Solve for x
    x = 230,269,276.16/16,928.92
  6. Step 6: Final answer
    x = 13,602.12

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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.