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Finding the Fourth Proportional to 21,313.68, 31,970.32 and 11,953.68

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Solution

The fourth proportional to 21,313.68, 31,970.32 and 11,953.68 is: 17,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.68 : 31,970.32 = 11,953.68 : x
  2. Step 2: Convert to fraction form
    21,313.68/31,970.32 = 11,953.68/x
  3. Step 3: Cross multiply
    21,313.68x = 31,970.32 × 11,953.68
  4. Step 4: Simplify right side
    21,313.68x = 382,162,974.78
  5. Step 5: Solve for x
    x = 382,162,974.78/21,313.68
  6. Step 6: Final answer
    x = 17,930.41

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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.