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Finding the Fourth Proportional to 12,953.38, 17,881.45 and 9,968.10

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Solution

The fourth proportional to 12,953.38, 17,881.45 and 9,968.10 is: 13,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.38 : 17,881.45 = 9,968.10 : x
  2. Step 2: Convert to fraction form
    12,953.38/17,881.45 = 9,968.10/x
  3. Step 3: Cross multiply
    12,953.38x = 17,881.45 × 9,968.10
  4. Step 4: Simplify right side
    12,953.38x = 178,244,081.75
  5. Step 5: Solve for x
    x = 178,244,081.75/12,953.38
  6. Step 6: Final answer
    x = 13,760.43

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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.