Home / 21,217.08-31,824-7,178.28

Finding the Fourth Proportional to 21,217.08, 31,824 and 7,178.28

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Solution

The fourth proportional to 21,217.08, 31,824 and 7,178.28 is: 10,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.08 : 31,824 = 7,178.28 : x
  2. Step 2: Convert to fraction form
    21,217.08/31,824 = 7,178.28/x
  3. Step 3: Cross multiply
    21,217.08x = 31,824 × 7,178.28
  4. Step 4: Simplify right side
    21,217.08x = 228,441,582.72
  5. Step 5: Solve for x
    x = 228,441,582.72/21,217.08
  6. Step 6: Final answer
    x = 10,766.87

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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.