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Finding the Fourth Proportional to 21,348.48, 31,996.80 and 9,645.60

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Solution

The fourth proportional to 21,348.48, 31,996.80 and 9,645.60 is: 14,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.48 : 31,996.80 = 9,645.60 : x
  2. Step 2: Convert to fraction form
    21,348.48/31,996.80 = 9,645.60/x
  3. Step 3: Cross multiply
    21,348.48x = 31,996.80 × 9,645.60
  4. Step 4: Simplify right side
    21,348.48x = 308,628,334.08
  5. Step 5: Solve for x
    x = 308,628,334.08/21,348.48
  6. Step 6: Final answer
    x = 14,456.69

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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.