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Finding the Fourth Proportional to 30,597.30, 42,217.08 and 17,842.86

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Solution

The fourth proportional to 30,597.30, 42,217.08 and 17,842.86 is: 24,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.30 : 42,217.08 = 17,842.86 : x
  2. Step 2: Convert to fraction form
    30,597.30/42,217.08 = 17,842.86/x
  3. Step 3: Cross multiply
    30,597.30x = 42,217.08 × 17,842.86
  4. Step 4: Simplify right side
    30,597.30x = 753,273,448.05
  5. Step 5: Solve for x
    x = 753,273,448.05/30,597.30
  6. Step 6: Final answer
    x = 24,618.95

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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.