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Finding the Fourth Proportional to 31,644.09, 43,667.10 and 17,496

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Solution

The fourth proportional to 31,644.09, 43,667.10 and 17,496 is: 24,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.09 : 43,667.10 = 17,496 : x
  2. Step 2: Convert to fraction form
    31,644.09/43,667.10 = 17,496/x
  3. Step 3: Cross multiply
    31,644.09x = 43,667.10 × 17,496
  4. Step 4: Simplify right side
    31,644.09x = 763,999,581.60
  5. Step 5: Solve for x
    x = 763,999,581.60/31,644.09
  6. Step 6: Final answer
    x = 24,143.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.