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Finding the Fourth Proportional to 21,833.31, 30,117.61 and 13,753.05

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Solution

The fourth proportional to 21,833.31, 30,117.61 and 13,753.05 is: 18,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.31 : 30,117.61 = 13,753.05 : x
  2. Step 2: Convert to fraction form
    21,833.31/30,117.61 = 13,753.05/x
  3. Step 3: Cross multiply
    21,833.31x = 30,117.61 × 13,753.05
  4. Step 4: Simplify right side
    21,833.31x = 414,209,013.40
  5. Step 5: Solve for x
    x = 414,209,013.40/21,833.31
  6. Step 6: Final answer
    x = 18,971.43

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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.