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Finding the Fourth Proportional to 21,787.67, 32,668.34 and 9,777.63

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Solution

The fourth proportional to 21,787.67, 32,668.34 and 9,777.63 is: 14,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.67 : 32,668.34 = 9,777.63 : x
  2. Step 2: Convert to fraction form
    21,787.67/32,668.34 = 9,777.63/x
  3. Step 3: Cross multiply
    21,787.67x = 32,668.34 × 9,777.63
  4. Step 4: Simplify right side
    21,787.67x = 319,418,941.23
  5. Step 5: Solve for x
    x = 319,418,941.23/21,787.67
  6. Step 6: Final answer
    x = 14,660.54

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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.