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Finding the Fourth Proportional to 30,654.64, 42,304.40 and 17,228.48

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Solution

The fourth proportional to 30,654.64, 42,304.40 and 17,228.48 is: 23,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.64 : 42,304.40 = 17,228.48 : x
  2. Step 2: Convert to fraction form
    30,654.64/42,304.40 = 17,228.48/x
  3. Step 3: Cross multiply
    30,654.64x = 42,304.40 × 17,228.48
  4. Step 4: Simplify right side
    30,654.64x = 728,840,509.31
  5. Step 5: Solve for x
    x = 728,840,509.31/30,654.64
  6. Step 6: Final answer
    x = 23,775.86

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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.