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Finding the Fourth Proportional to 21,159.40, 31,741.21 and 7,835.96

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Solution

The fourth proportional to 21,159.40, 31,741.21 and 7,835.96 is: 11,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.40 : 31,741.21 = 7,835.96 : x
  2. Step 2: Convert to fraction form
    21,159.40/31,741.21 = 7,835.96/x
  3. Step 3: Cross multiply
    21,159.40x = 31,741.21 × 7,835.96
  4. Step 4: Simplify right side
    21,159.40x = 248,722,812.73
  5. Step 5: Solve for x
    x = 248,722,812.73/21,159.40
  6. Step 6: Final answer
    x = 11,754.72

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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.