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Finding the Fourth Proportional to 21,652.94, 32,489.44 and 11,780.46

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Solution

The fourth proportional to 21,652.94, 32,489.44 and 11,780.46 is: 17,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.94 : 32,489.44 = 11,780.46 : x
  2. Step 2: Convert to fraction form
    21,652.94/32,489.44 = 11,780.46/x
  3. Step 3: Cross multiply
    21,652.94x = 32,489.44 × 11,780.46
  4. Step 4: Simplify right side
    21,652.94x = 382,740,518.89
  5. Step 5: Solve for x
    x = 382,740,518.89/21,652.94
  6. Step 6: Final answer
    x = 17,676.14

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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.