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Finding the Fourth Proportional to 30,577.40, 42,205.56 and 18,009.44

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Solution

The fourth proportional to 30,577.40, 42,205.56 and 18,009.44 is: 24,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.40 : 42,205.56 = 18,009.44 : x
  2. Step 2: Convert to fraction form
    30,577.40/42,205.56 = 18,009.44/x
  3. Step 3: Cross multiply
    30,577.40x = 42,205.56 × 18,009.44
  4. Step 4: Simplify right side
    30,577.40x = 760,098,500.49
  5. Step 5: Solve for x
    x = 760,098,500.49/30,577.40
  6. Step 6: Final answer
    x = 24,858.18

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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.