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Finding the Fourth Proportional to 30,698.16, 42,318.36 and 21,717.96

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Solution

The fourth proportional to 30,698.16, 42,318.36 and 21,717.96 is: 29,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.16 : 42,318.36 = 21,717.96 : x
  2. Step 2: Convert to fraction form
    30,698.16/42,318.36 = 21,717.96/x
  3. Step 3: Cross multiply
    30,698.16x = 42,318.36 × 21,717.96
  4. Step 4: Simplify right side
    30,698.16x = 919,068,449.75
  5. Step 5: Solve for x
    x = 919,068,449.75/30,698.16
  6. Step 6: Final answer
    x = 29,938.88

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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.