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Finding the Fourth Proportional to 21,403.84, 32,102.58 and 8,254.57

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Solution

The fourth proportional to 21,403.84, 32,102.58 and 8,254.57 is: 12,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.84 : 32,102.58 = 8,254.57 : x
  2. Step 2: Convert to fraction form
    21,403.84/32,102.58 = 8,254.57/x
  3. Step 3: Cross multiply
    21,403.84x = 32,102.58 × 8,254.57
  4. Step 4: Simplify right side
    21,403.84x = 264,992,993.79
  5. Step 5: Solve for x
    x = 264,992,993.79/21,403.84
  6. Step 6: Final answer
    x = 12,380.63

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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.