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Finding the Fourth Proportional to 21,251.67, 31,848.34 and 13,446.51

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Solution

The fourth proportional to 21,251.67, 31,848.34 and 13,446.51 is: 20,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.67 : 31,848.34 = 13,446.51 : x
  2. Step 2: Convert to fraction form
    21,251.67/31,848.34 = 13,446.51/x
  3. Step 3: Cross multiply
    21,251.67x = 31,848.34 × 13,446.51
  4. Step 4: Simplify right side
    21,251.67x = 428,249,022.29
  5. Step 5: Solve for x
    x = 428,249,022.29/21,251.67
  6. Step 6: Final answer
    x = 20,151.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.