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Finding the Fourth Proportional to 16,889.76, 23,309.04 and 9,818.40

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Solution

The fourth proportional to 16,889.76, 23,309.04 and 9,818.40 is: 13,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.76 : 23,309.04 = 9,818.40 : x
  2. Step 2: Convert to fraction form
    16,889.76/23,309.04 = 9,818.40/x
  3. Step 3: Cross multiply
    16,889.76x = 23,309.04 × 9,818.40
  4. Step 4: Simplify right side
    16,889.76x = 228,857,478.34
  5. Step 5: Solve for x
    x = 228,857,478.34/16,889.76
  6. Step 6: Final answer
    x = 13,550.07

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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.