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Finding the Fourth Proportional to 21,082.47, 31,624.71 and 6,292.54

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Solution

The fourth proportional to 21,082.47, 31,624.71 and 6,292.54 is: 9,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.47 : 31,624.71 = 6,292.54 : x
  2. Step 2: Convert to fraction form
    21,082.47/31,624.71 = 6,292.54/x
  3. Step 3: Cross multiply
    21,082.47x = 31,624.71 × 6,292.54
  4. Step 4: Simplify right side
    21,082.47x = 198,999,752.66
  5. Step 5: Solve for x
    x = 198,999,752.66/21,082.47
  6. Step 6: Final answer
    x = 9,439.11

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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.