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Finding the Fourth Proportional to 21,106.17, 31,674.81 and 10,012.89

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Solution

The fourth proportional to 21,106.17, 31,674.81 and 10,012.89 is: 15,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.17 : 31,674.81 = 10,012.89 : x
  2. Step 2: Convert to fraction form
    21,106.17/31,674.81 = 10,012.89/x
  3. Step 3: Cross multiply
    21,106.17x = 31,674.81 × 10,012.89
  4. Step 4: Simplify right side
    21,106.17x = 317,156,388.30
  5. Step 5: Solve for x
    x = 317,156,388.30/21,106.17
  6. Step 6: Final answer
    x = 15,026.71

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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.