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Finding the Fourth Proportional to 12,652.31, 18,990.03 and 6,416.63

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Solution

The fourth proportional to 12,652.31, 18,990.03 and 6,416.63 is: 9,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.31 : 18,990.03 = 6,416.63 : x
  2. Step 2: Convert to fraction form
    12,652.31/18,990.03 = 6,416.63/x
  3. Step 3: Cross multiply
    12,652.31x = 18,990.03 × 6,416.63
  4. Step 4: Simplify right side
    12,652.31x = 121,851,901.25
  5. Step 5: Solve for x
    x = 121,851,901.25/12,652.31
  6. Step 6: Final answer
    x = 9,630.81

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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.