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Finding the Fourth Proportional to 30,644.64, 42,289.02 and 17,215.92

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Solution

The fourth proportional to 30,644.64, 42,289.02 and 17,215.92 is: 23,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.64 : 42,289.02 = 17,215.92 : x
  2. Step 2: Convert to fraction form
    30,644.64/42,289.02 = 17,215.92/x
  3. Step 3: Cross multiply
    30,644.64x = 42,289.02 × 17,215.92
  4. Step 4: Simplify right side
    30,644.64x = 728,044,385.20
  5. Step 5: Solve for x
    x = 728,044,385.20/30,644.64
  6. Step 6: Final answer
    x = 23,757.64

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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.