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Finding the Fourth Proportional to 30,789.60, 42,489 and 18,218.40

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Solution

The fourth proportional to 30,789.60, 42,489 and 18,218.40 is: 25,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.60 : 42,489 = 18,218.40 : x
  2. Step 2: Convert to fraction form
    30,789.60/42,489 = 18,218.40/x
  3. Step 3: Cross multiply
    30,789.60x = 42,489 × 18,218.40
  4. Step 4: Simplify right side
    30,789.60x = 774,081,597.60
  5. Step 5: Solve for x
    x = 774,081,597.60/30,789.60
  6. Step 6: Final answer
    x = 25,141.01

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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.