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Finding the Fourth Proportional to 31,530.99, 43,513.07 and 17,384.34

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Solution

The fourth proportional to 31,530.99, 43,513.07 and 17,384.34 is: 23,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.99 : 43,513.07 = 17,384.34 : x
  2. Step 2: Convert to fraction form
    31,530.99/43,513.07 = 17,384.34/x
  3. Step 3: Cross multiply
    31,530.99x = 43,513.07 × 17,384.34
  4. Step 4: Simplify right side
    31,530.99x = 756,446,003.32
  5. Step 5: Solve for x
    x = 756,446,003.32/31,530.99
  6. Step 6: Final answer
    x = 23,990.56

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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.