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Finding the Fourth Proportional to 16,818.92, 23,209.16 and 9,263.76

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Solution

The fourth proportional to 16,818.92, 23,209.16 and 9,263.76 is: 12,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.92 : 23,209.16 = 9,263.76 : x
  2. Step 2: Convert to fraction form
    16,818.92/23,209.16 = 9,263.76/x
  3. Step 3: Cross multiply
    16,818.92x = 23,209.16 × 9,263.76
  4. Step 4: Simplify right side
    16,818.92x = 215,004,088.04
  5. Step 5: Solve for x
    x = 215,004,088.04/16,818.92
  6. Step 6: Final answer
    x = 12,783.47

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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.