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Finding the Fourth Proportional to 30,630.40, 42,270 and 17,892.32

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Solution

The fourth proportional to 30,630.40, 42,270 and 17,892.32 is: 24,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.40 : 42,270 = 17,892.32 : x
  2. Step 2: Convert to fraction form
    30,630.40/42,270 = 17,892.32/x
  3. Step 3: Cross multiply
    30,630.40x = 42,270 × 17,892.32
  4. Step 4: Simplify right side
    30,630.40x = 756,308,366.40
  5. Step 5: Solve for x
    x = 756,308,366.40/30,630.40
  6. Step 6: Final answer
    x = 24,691.43

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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.