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Finding the Fourth Proportional to 21,029.57, 31,538.95 and 6,235.12

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Solution

The fourth proportional to 21,029.57, 31,538.95 and 6,235.12 is: 9,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.57 : 31,538.95 = 6,235.12 : x
  2. Step 2: Convert to fraction form
    21,029.57/31,538.95 = 6,235.12/x
  3. Step 3: Cross multiply
    21,029.57x = 31,538.95 × 6,235.12
  4. Step 4: Simplify right side
    21,029.57x = 196,649,043.49
  5. Step 5: Solve for x
    x = 196,649,043.49/21,029.57
  6. Step 6: Final answer
    x = 9,351.08

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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.