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Finding the Fourth Proportional to 12,964.38, 17,853.16 and 11,262.10

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Solution

The fourth proportional to 12,964.38, 17,853.16 and 11,262.10 is: 15,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.38 : 17,853.16 = 11,262.10 : x
  2. Step 2: Convert to fraction form
    12,964.38/17,853.16 = 11,262.10/x
  3. Step 3: Cross multiply
    12,964.38x = 17,853.16 × 11,262.10
  4. Step 4: Simplify right side
    12,964.38x = 201,064,073.24
  5. Step 5: Solve for x
    x = 201,064,073.24/12,964.38
  6. Step 6: Final answer
    x = 15,508.96

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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.