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Finding the Fourth Proportional to 16,960.32, 23,399.28 and 9,885.24

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Solution

The fourth proportional to 16,960.32, 23,399.28 and 9,885.24 is: 13,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.32 : 23,399.28 = 9,885.24 : x
  2. Step 2: Convert to fraction form
    16,960.32/23,399.28 = 9,885.24/x
  3. Step 3: Cross multiply
    16,960.32x = 23,399.28 × 9,885.24
  4. Step 4: Simplify right side
    16,960.32x = 231,307,498.63
  5. Step 5: Solve for x
    x = 231,307,498.63/16,960.32
  6. Step 6: Final answer
    x = 13,638.16

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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.