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Finding the Fourth Proportional to 21,708.84, 29,950.23 and 13,207.50

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Solution

The fourth proportional to 21,708.84, 29,950.23 and 13,207.50 is: 18,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.84 : 29,950.23 = 13,207.50 : x
  2. Step 2: Convert to fraction form
    21,708.84/29,950.23 = 13,207.50/x
  3. Step 3: Cross multiply
    21,708.84x = 29,950.23 × 13,207.50
  4. Step 4: Simplify right side
    21,708.84x = 395,567,662.73
  5. Step 5: Solve for x
    x = 395,567,662.73/21,708.84
  6. Step 6: Final answer
    x = 18,221.50

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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.