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Finding the Fourth Proportional to 21,548.60, 32,309.66 and 8,385.64

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Solution

The fourth proportional to 21,548.60, 32,309.66 and 8,385.64 is: 12,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.60 : 32,309.66 = 8,385.64 : x
  2. Step 2: Convert to fraction form
    21,548.60/32,309.66 = 8,385.64/x
  3. Step 3: Cross multiply
    21,548.60x = 32,309.66 × 8,385.64
  4. Step 4: Simplify right side
    21,548.60x = 270,937,177.28
  5. Step 5: Solve for x
    x = 270,937,177.28/21,548.60
  6. Step 6: Final answer
    x = 12,573.31

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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.