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Finding the Fourth Proportional to 31,673.34, 43,709.22 and 17,526.24

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Solution

The fourth proportional to 31,673.34, 43,709.22 and 17,526.24 is: 24,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.34 : 43,709.22 = 17,526.24 : x
  2. Step 2: Convert to fraction form
    31,673.34/43,709.22 = 17,526.24/x
  3. Step 3: Cross multiply
    31,673.34x = 43,709.22 × 17,526.24
  4. Step 4: Simplify right side
    31,673.34x = 766,058,279.93
  5. Step 5: Solve for x
    x = 766,058,279.93/31,673.34
  6. Step 6: Final answer
    x = 24,186.22

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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.