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Finding the Fourth Proportional to 30,214.42, 45,314.79 and 11,487.77

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Solution

The fourth proportional to 30,214.42, 45,314.79 and 11,487.77 is: 17,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.42 : 45,314.79 = 11,487.77 : x
  2. Step 2: Convert to fraction form
    30,214.42/45,314.79 = 11,487.77/x
  3. Step 3: Cross multiply
    30,214.42x = 45,314.79 × 11,487.77
  4. Step 4: Simplify right side
    30,214.42x = 520,566,104.91
  5. Step 5: Solve for x
    x = 520,566,104.91/30,214.42
  6. Step 6: Final answer
    x = 17,229.06

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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.