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Finding the Fourth Proportional to 21,683.31, 32,493.75 and 12,777.63

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Solution

The fourth proportional to 21,683.31, 32,493.75 and 12,777.63 is: 19,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.31 : 32,493.75 = 12,777.63 : x
  2. Step 2: Convert to fraction form
    21,683.31/32,493.75 = 12,777.63/x
  3. Step 3: Cross multiply
    21,683.31x = 32,493.75 × 12,777.63
  4. Step 4: Simplify right side
    21,683.31x = 415,193,114.81
  5. Step 5: Solve for x
    x = 415,193,114.81/21,683.31
  6. Step 6: Final answer
    x = 19,148.05

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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.