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Finding the Fourth Proportional to 21,135.40, 31,678.39 and 10,599.73

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Solution

The fourth proportional to 21,135.40, 31,678.39 and 10,599.73 is: 15,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.40 : 31,678.39 = 10,599.73 : x
  2. Step 2: Convert to fraction form
    21,135.40/31,678.39 = 10,599.73/x
  3. Step 3: Cross multiply
    21,135.40x = 31,678.39 × 10,599.73
  4. Step 4: Simplify right side
    21,135.40x = 335,782,314.89
  5. Step 5: Solve for x
    x = 335,782,314.89/21,135.40
  6. Step 6: Final answer
    x = 15,887.20

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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.