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Finding the Fourth Proportional to 21,400.96, 32,114.40 and 8,262.40

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Solution

The fourth proportional to 21,400.96, 32,114.40 and 8,262.40 is: 12,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.96 : 32,114.40 = 8,262.40 : x
  2. Step 2: Convert to fraction form
    21,400.96/32,114.40 = 8,262.40/x
  3. Step 3: Cross multiply
    21,400.96x = 32,114.40 × 8,262.40
  4. Step 4: Simplify right side
    21,400.96x = 265,342,018.56
  5. Step 5: Solve for x
    x = 265,342,018.56/21,400.96
  6. Step 6: Final answer
    x = 12,398.60

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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.