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Finding the Fourth Proportional to 21,012.84, 31,519.12 and 6,221.84

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Solution

The fourth proportional to 21,012.84, 31,519.12 and 6,221.84 is: 9,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.84 : 31,519.12 = 6,221.84 : x
  2. Step 2: Convert to fraction form
    21,012.84/31,519.12 = 6,221.84/x
  3. Step 3: Cross multiply
    21,012.84x = 31,519.12 × 6,221.84
  4. Step 4: Simplify right side
    21,012.84x = 196,106,921.58
  5. Step 5: Solve for x
    x = 196,106,921.58/21,012.84
  6. Step 6: Final answer
    x = 9,332.72

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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.