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Finding the Fourth Proportional to 21,014.84, 31,522.12 and 6,223.84

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Solution

The fourth proportional to 21,014.84, 31,522.12 and 6,223.84 is: 9,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.84 : 31,522.12 = 6,223.84 : x
  2. Step 2: Convert to fraction form
    21,014.84/31,522.12 = 6,223.84/x
  3. Step 3: Cross multiply
    21,014.84x = 31,522.12 × 6,223.84
  4. Step 4: Simplify right side
    21,014.84x = 196,188,631.34
  5. Step 5: Solve for x
    x = 196,188,631.34/21,014.84
  6. Step 6: Final answer
    x = 9,335.72

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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.