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Finding the Fourth Proportional to 21,224.36, 31,842.90 and 8,567.60

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Solution

The fourth proportional to 21,224.36, 31,842.90 and 8,567.60 is: 12,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.36 : 31,842.90 = 8,567.60 : x
  2. Step 2: Convert to fraction form
    21,224.36/31,842.90 = 8,567.60/x
  3. Step 3: Cross multiply
    21,224.36x = 31,842.90 × 8,567.60
  4. Step 4: Simplify right side
    21,224.36x = 272,817,070.83
  5. Step 5: Solve for x
    x = 272,817,070.83/21,224.36
  6. Step 6: Final answer
    x = 12,853.96

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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.