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Finding the Fourth Proportional to 30,342.96, 45,514.44 and 11,862

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Solution

The fourth proportional to 30,342.96, 45,514.44 and 11,862 is: 17,793

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.96 : 45,514.44 = 11,862 : x
  2. Step 2: Convert to fraction form
    30,342.96/45,514.44 = 11,862/x
  3. Step 3: Cross multiply
    30,342.96x = 45,514.44 × 11,862
  4. Step 4: Simplify right side
    30,342.96x = 539,892,287.28
  5. Step 5: Solve for x
    x = 539,892,287.28/30,342.96
  6. Step 6: Final answer
    x = 17,793

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.