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Finding the Fourth Proportional to 21,813.36, 30,101.40 and 12,380.64

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Solution

The fourth proportional to 21,813.36, 30,101.40 and 12,380.64 is: 17,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.36 : 30,101.40 = 12,380.64 : x
  2. Step 2: Convert to fraction form
    21,813.36/30,101.40 = 12,380.64/x
  3. Step 3: Cross multiply
    21,813.36x = 30,101.40 × 12,380.64
  4. Step 4: Simplify right side
    21,813.36x = 372,674,596.90
  5. Step 5: Solve for x
    x = 372,674,596.90/21,813.36
  6. Step 6: Final answer
    x = 17,084.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.