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Finding the Fourth Proportional to 30,825.84, 42,539.64 and 17,399.92

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Solution

The fourth proportional to 30,825.84, 42,539.64 and 17,399.92 is: 24,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.84 : 42,539.64 = 17,399.92 : x
  2. Step 2: Convert to fraction form
    30,825.84/42,539.64 = 17,399.92/x
  3. Step 3: Cross multiply
    30,825.84x = 42,539.64 × 17,399.92
  4. Step 4: Simplify right side
    30,825.84x = 740,186,332.83
  5. Step 5: Solve for x
    x = 740,186,332.83/30,825.84
  6. Step 6: Final answer
    x = 24,011.88

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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.