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Finding the Fourth Proportional to 30,828, 42,542.64 and 17,580

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Solution

The fourth proportional to 30,828, 42,542.64 and 17,580 is: 24,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828 : 42,542.64 = 17,580 : x
  2. Step 2: Convert to fraction form
    30,828/42,542.64 = 17,580/x
  3. Step 3: Cross multiply
    30,828x = 42,542.64 × 17,580
  4. Step 4: Simplify right side
    30,828x = 747,899,611.20
  5. Step 5: Solve for x
    x = 747,899,611.20/30,828
  6. Step 6: Final answer
    x = 24,260.40

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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.