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Finding the Fourth Proportional to 30,187.32, 41,682.96 and 18,870

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Solution

The fourth proportional to 30,187.32, 41,682.96 and 18,870 is: 26,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.32 : 41,682.96 = 18,870 : x
  2. Step 2: Convert to fraction form
    30,187.32/41,682.96 = 18,870/x
  3. Step 3: Cross multiply
    30,187.32x = 41,682.96 × 18,870
  4. Step 4: Simplify right side
    30,187.32x = 786,557,455.20
  5. Step 5: Solve for x
    x = 786,557,455.20/30,187.32
  6. Step 6: Final answer
    x = 26,055.89

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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.