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Finding the Fourth Proportional to 21,537.30, 32,305.75 and 7,497.30

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Solution

The fourth proportional to 21,537.30, 32,305.75 and 7,497.30 is: 11,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.30 : 32,305.75 = 7,497.30 : x
  2. Step 2: Convert to fraction form
    21,537.30/32,305.75 = 7,497.30/x
  3. Step 3: Cross multiply
    21,537.30x = 32,305.75 × 7,497.30
  4. Step 4: Simplify right side
    21,537.30x = 242,205,880.73
  5. Step 5: Solve for x
    x = 242,205,880.73/21,537.30
  6. Step 6: Final answer
    x = 11,245.88

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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.