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Finding the Fourth Proportional to 30,693.12, 42,354.96 and 18,115.68

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Solution

The fourth proportional to 30,693.12, 42,354.96 and 18,115.68 is: 24,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.12 : 42,354.96 = 18,115.68 : x
  2. Step 2: Convert to fraction form
    30,693.12/42,354.96 = 18,115.68/x
  3. Step 3: Cross multiply
    30,693.12x = 42,354.96 × 18,115.68
  4. Step 4: Simplify right side
    30,693.12x = 767,288,901.77
  5. Step 5: Solve for x
    x = 767,288,901.77/30,693.12
  6. Step 6: Final answer
    x = 24,998.73

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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.