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Finding the Fourth Proportional to 16,145.10, 24,217.65 and 14,201.10

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Solution

The fourth proportional to 16,145.10, 24,217.65 and 14,201.10 is: 21,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.10 : 24,217.65 = 14,201.10 : x
  2. Step 2: Convert to fraction form
    16,145.10/24,217.65 = 14,201.10/x
  3. Step 3: Cross multiply
    16,145.10x = 24,217.65 × 14,201.10
  4. Step 4: Simplify right side
    16,145.10x = 343,917,269.42
  5. Step 5: Solve for x
    x = 343,917,269.42/16,145.10
  6. Step 6: Final answer
    x = 21,301.65

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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.