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Finding the Fourth Proportional to 16,955.50, 23,400.24 and 9,881.46

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Solution

The fourth proportional to 16,955.50, 23,400.24 and 9,881.46 is: 13,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,955.50 : 23,400.24 = 9,881.46 : x
  2. Step 2: Convert to fraction form
    16,955.50/23,400.24 = 9,881.46/x
  3. Step 3: Cross multiply
    16,955.50x = 23,400.24 × 9,881.46
  4. Step 4: Simplify right side
    16,955.50x = 231,228,535.55
  5. Step 5: Solve for x
    x = 231,228,535.55/16,955.50
  6. Step 6: Final answer
    x = 13,637.38

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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.