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Finding the Fourth Proportional to 21,184.68, 31,782.42 and 12,427.32

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Solution

The fourth proportional to 21,184.68, 31,782.42 and 12,427.32 is: 18,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.68 : 31,782.42 = 12,427.32 : x
  2. Step 2: Convert to fraction form
    21,184.68/31,782.42 = 12,427.32/x
  3. Step 3: Cross multiply
    21,184.68x = 31,782.42 × 12,427.32
  4. Step 4: Simplify right side
    21,184.68x = 394,970,303.71
  5. Step 5: Solve for x
    x = 394,970,303.71/21,184.68
  6. Step 6: Final answer
    x = 18,644.15

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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.