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Finding the Fourth Proportional to 21,537.30, 32,303.90 and 7,493.96

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Solution

The fourth proportional to 21,537.30, 32,303.90 and 7,493.96 is: 11,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.30 : 32,303.90 = 7,493.96 : x
  2. Step 2: Convert to fraction form
    21,537.30/32,303.90 = 7,493.96/x
  3. Step 3: Cross multiply
    21,537.30x = 32,303.90 × 7,493.96
  4. Step 4: Simplify right side
    21,537.30x = 242,084,134.44
  5. Step 5: Solve for x
    x = 242,084,134.44/21,537.30
  6. Step 6: Final answer
    x = 11,240.23

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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.