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Finding the Fourth Proportional to 21,504.48, 32,230.80 and 9,801.60

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Solution

The fourth proportional to 21,504.48, 32,230.80 and 9,801.60 is: 14,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.48 : 32,230.80 = 9,801.60 : x
  2. Step 2: Convert to fraction form
    21,504.48/32,230.80 = 9,801.60/x
  3. Step 3: Cross multiply
    21,504.48x = 32,230.80 × 9,801.60
  4. Step 4: Simplify right side
    21,504.48x = 315,913,409.28
  5. Step 5: Solve for x
    x = 315,913,409.28/21,504.48
  6. Step 6: Final answer
    x = 14,690.59

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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.