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Finding the Fourth Proportional to 16,142.12, 24,230.14 and 14,305

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Solution

The fourth proportional to 16,142.12, 24,230.14 and 14,305 is: 21,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.12 : 24,230.14 = 14,305 : x
  2. Step 2: Convert to fraction form
    16,142.12/24,230.14 = 14,305/x
  3. Step 3: Cross multiply
    16,142.12x = 24,230.14 × 14,305
  4. Step 4: Simplify right side
    16,142.12x = 346,612,152.70
  5. Step 5: Solve for x
    x = 346,612,152.70/16,142.12
  6. Step 6: Final answer
    x = 21,472.53

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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.