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Finding the Fourth Proportional to 12,644.39, 17,426.00 and 10,134.81

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Solution

The fourth proportional to 12,644.39, 17,426.00 and 10,134.81 is: 13,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.39 : 17,426.00 = 10,134.81 : x
  2. Step 2: Convert to fraction form
    12,644.39/17,426.00 = 10,134.81/x
  3. Step 3: Cross multiply
    12,644.39x = 17,426.00 × 10,134.81
  4. Step 4: Simplify right side
    12,644.39x = 176,609,224.40
  5. Step 5: Solve for x
    x = 176,609,224.40/12,644.39
  6. Step 6: Final answer
    x = 13,967.39

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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.