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Finding the Fourth Proportional to 21,264, 31,885.28 and 12,382.20

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Solution

The fourth proportional to 21,264, 31,885.28 and 12,382.20 is: 18,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 31,885.28 = 12,382.20 : x
  2. Step 2: Convert to fraction form
    21,264/31,885.28 = 12,382.20/x
  3. Step 3: Cross multiply
    21,264x = 31,885.28 × 12,382.20
  4. Step 4: Simplify right side
    21,264x = 394,809,852.11
  5. Step 5: Solve for x
    x = 394,809,852.11/21,264
  6. Step 6: Final answer
    x = 18,567.05

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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.