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Finding the Fourth Proportional to 21,147.80, 31,678.64 and 10,020.76

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Solution

The fourth proportional to 21,147.80, 31,678.64 and 10,020.76 is: 15,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.80 : 31,678.64 = 10,020.76 : x
  2. Step 2: Convert to fraction form
    21,147.80/31,678.64 = 10,020.76/x
  3. Step 3: Cross multiply
    21,147.80x = 31,678.64 × 10,020.76
  4. Step 4: Simplify right side
    21,147.80x = 317,444,048.57
  5. Step 5: Solve for x
    x = 317,444,048.57/21,147.80
  6. Step 6: Final answer
    x = 15,010.74

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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.