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Finding the Fourth Proportional to 20,851.36, 31,281.76 and 7,000

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Solution

The fourth proportional to 20,851.36, 31,281.76 and 7,000 is: 10,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.36 : 31,281.76 = 7,000 : x
  2. Step 2: Convert to fraction form
    20,851.36/31,281.76 = 7,000/x
  3. Step 3: Cross multiply
    20,851.36x = 31,281.76 × 7,000
  4. Step 4: Simplify right side
    20,851.36x = 218,972,320
  5. Step 5: Solve for x
    x = 218,972,320/20,851.36
  6. Step 6: Final answer
    x = 10,501.58

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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.