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Finding the Fourth Proportional to 30,736.84, 42,419.88 and 17,989.26

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Solution

The fourth proportional to 30,736.84, 42,419.88 and 17,989.26 is: 24,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.84 : 42,419.88 = 17,989.26 : x
  2. Step 2: Convert to fraction form
    30,736.84/42,419.88 = 17,989.26/x
  3. Step 3: Cross multiply
    30,736.84x = 42,419.88 × 17,989.26
  4. Step 4: Simplify right side
    30,736.84x = 763,102,330.03
  5. Step 5: Solve for x
    x = 763,102,330.03/30,736.84
  6. Step 6: Final answer
    x = 24,826.96

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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.