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Finding the Fourth Proportional to 21,085.60, 31,628.40 and 8,597.83

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Solution

The fourth proportional to 21,085.60, 31,628.40 and 8,597.83 is: 12,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.60 : 31,628.40 = 8,597.83 : x
  2. Step 2: Convert to fraction form
    21,085.60/31,628.40 = 8,597.83/x
  3. Step 3: Cross multiply
    21,085.60x = 31,628.40 × 8,597.83
  4. Step 4: Simplify right side
    21,085.60x = 271,935,606.37
  5. Step 5: Solve for x
    x = 271,935,606.37/21,085.60
  6. Step 6: Final answer
    x = 12,896.75

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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.