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Finding the Fourth Proportional to 31,645.89, 43,666.19 and 17,496

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Solution

The fourth proportional to 31,645.89, 43,666.19 and 17,496 is: 24,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.89 : 43,666.19 = 17,496 : x
  2. Step 2: Convert to fraction form
    31,645.89/43,666.19 = 17,496/x
  3. Step 3: Cross multiply
    31,645.89x = 43,666.19 × 17,496
  4. Step 4: Simplify right side
    31,645.89x = 763,983,638.37
  5. Step 5: Solve for x
    x = 763,983,638.37/31,645.89
  6. Step 6: Final answer
    x = 24,141.64

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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.