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Finding the Fourth Proportional to 21,577.65, 32,379.03 and 9,096.90

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Solution

The fourth proportional to 21,577.65, 32,379.03 and 9,096.90 is: 13,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.65 : 32,379.03 = 9,096.90 : x
  2. Step 2: Convert to fraction form
    21,577.65/32,379.03 = 9,096.90/x
  3. Step 3: Cross multiply
    21,577.65x = 32,379.03 × 9,096.90
  4. Step 4: Simplify right side
    21,577.65x = 294,548,798.01
  5. Step 5: Solve for x
    x = 294,548,798.01/21,577.65
  6. Step 6: Final answer
    x = 13,650.64

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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.