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Finding the Fourth Proportional to 30,825.34, 42,539.12 and 17,397.16

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Solution

The fourth proportional to 30,825.34, 42,539.12 and 17,397.16 is: 24,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.34 : 42,539.12 = 17,397.16 : x
  2. Step 2: Convert to fraction form
    30,825.34/42,539.12 = 17,397.16/x
  3. Step 3: Cross multiply
    30,825.34x = 42,539.12 × 17,397.16
  4. Step 4: Simplify right side
    30,825.34x = 740,059,789.91
  5. Step 5: Solve for x
    x = 740,059,789.91/30,825.34
  6. Step 6: Final answer
    x = 24,008.16

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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.