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Finding the Fourth Proportional to 30,994.41, 42,770.88 and 17,564.88

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Solution

The fourth proportional to 30,994.41, 42,770.88 and 17,564.88 is: 24,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.41 : 42,770.88 = 17,564.88 : x
  2. Step 2: Convert to fraction form
    30,994.41/42,770.88 = 17,564.88/x
  3. Step 3: Cross multiply
    30,994.41x = 42,770.88 × 17,564.88
  4. Step 4: Simplify right side
    30,994.41x = 751,265,374.69
  5. Step 5: Solve for x
    x = 751,265,374.69/30,994.41
  6. Step 6: Final answer
    x = 24,238.74

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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.