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Finding the Fourth Proportional to 21,537.88, 32,303.96 and 8,207.28

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Solution

The fourth proportional to 21,537.88, 32,303.96 and 8,207.28 is: 12,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.88 : 32,303.96 = 8,207.28 : x
  2. Step 2: Convert to fraction form
    21,537.88/32,303.96 = 8,207.28/x
  3. Step 3: Cross multiply
    21,537.88x = 32,303.96 × 8,207.28
  4. Step 4: Simplify right side
    21,537.88x = 265,127,644.83
  5. Step 5: Solve for x
    x = 265,127,644.83/21,537.88
  6. Step 6: Final answer
    x = 12,309.83

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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.