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Finding the Fourth Proportional to 31,352.86, 43,267.53 and 17,206.21

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Solution

The fourth proportional to 31,352.86, 43,267.53 and 17,206.21 is: 23,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.86 : 43,267.53 = 17,206.21 : x
  2. Step 2: Convert to fraction form
    31,352.86/43,267.53 = 17,206.21/x
  3. Step 3: Cross multiply
    31,352.86x = 43,267.53 × 17,206.21
  4. Step 4: Simplify right side
    31,352.86x = 744,470,207.36
  5. Step 5: Solve for x
    x = 744,470,207.36/31,352.86
  6. Step 6: Final answer
    x = 23,744.89

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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.