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Finding the Fourth Proportional to 21,140.48, 31,711.02 and 10,048.28

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Solution

The fourth proportional to 21,140.48, 31,711.02 and 10,048.28 is: 15,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.48 : 31,711.02 = 10,048.28 : x
  2. Step 2: Convert to fraction form
    21,140.48/31,711.02 = 10,048.28/x
  3. Step 3: Cross multiply
    21,140.48x = 31,711.02 × 10,048.28
  4. Step 4: Simplify right side
    21,140.48x = 318,641,208.05
  5. Step 5: Solve for x
    x = 318,641,208.05/21,140.48
  6. Step 6: Final answer
    x = 15,072.56

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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.