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Finding the Fourth Proportional to 21,020.10, 31,530 and 6,229.08

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Solution

The fourth proportional to 21,020.10, 31,530 and 6,229.08 is: 9,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.10 : 31,530 = 6,229.08 : x
  2. Step 2: Convert to fraction form
    21,020.10/31,530 = 6,229.08/x
  3. Step 3: Cross multiply
    21,020.10x = 31,530 × 6,229.08
  4. Step 4: Simplify right side
    21,020.10x = 196,402,892.40
  5. Step 5: Solve for x
    x = 196,402,892.40/21,020.10
  6. Step 6: Final answer
    x = 9,343.58

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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.