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Finding the Fourth Proportional to 16,877.36, 23,295.36 and 9,806

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Solution

The fourth proportional to 16,877.36, 23,295.36 and 9,806 is: 13,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877.36 : 23,295.36 = 9,806 : x
  2. Step 2: Convert to fraction form
    16,877.36/23,295.36 = 9,806/x
  3. Step 3: Cross multiply
    16,877.36x = 23,295.36 × 9,806
  4. Step 4: Simplify right side
    16,877.36x = 228,434,300.16
  5. Step 5: Solve for x
    x = 228,434,300.16/16,877.36
  6. Step 6: Final answer
    x = 13,534.95

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Why These Related Problems?

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