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Finding the Fourth Proportional to 21,909.37, 32,842.18 and 8,564.06

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Solution

The fourth proportional to 21,909.37, 32,842.18 and 8,564.06 is: 12,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.37 : 32,842.18 = 8,564.06 : x
  2. Step 2: Convert to fraction form
    21,909.37/32,842.18 = 8,564.06/x
  3. Step 3: Cross multiply
    21,909.37x = 32,842.18 × 8,564.06
  4. Step 4: Simplify right side
    21,909.37x = 281,262,400.05
  5. Step 5: Solve for x
    x = 281,262,400.05/21,909.37
  6. Step 6: Final answer
    x = 12,837.54

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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.