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Finding the Fourth Proportional to 17,142.64, 23,654.40 and 9,972.32

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Solution

The fourth proportional to 17,142.64, 23,654.40 and 9,972.32 is: 13,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.64 : 23,654.40 = 9,972.32 : x
  2. Step 2: Convert to fraction form
    17,142.64/23,654.40 = 9,972.32/x
  3. Step 3: Cross multiply
    17,142.64x = 23,654.40 × 9,972.32
  4. Step 4: Simplify right side
    17,142.64x = 235,889,246.21
  5. Step 5: Solve for x
    x = 235,889,246.21/17,142.64
  6. Step 6: Final answer
    x = 13,760.38

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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.