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Finding the Fourth Proportional to 20,678.40, 31,018.52 and 6,639

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Solution

The fourth proportional to 20,678.40, 31,018.52 and 6,639 is: 9,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.40 : 31,018.52 = 6,639 : x
  2. Step 2: Convert to fraction form
    20,678.40/31,018.52 = 6,639/x
  3. Step 3: Cross multiply
    20,678.40x = 31,018.52 × 6,639
  4. Step 4: Simplify right side
    20,678.40x = 205,931,954.28
  5. Step 5: Solve for x
    x = 205,931,954.28/20,678.40
  6. Step 6: Final answer
    x = 9,958.80

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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.