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Finding the Fourth Proportional to 16,097.20, 24,145.80 and 13,025.20

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Solution

The fourth proportional to 16,097.20, 24,145.80 and 13,025.20 is: 19,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.20 : 24,145.80 = 13,025.20 : x
  2. Step 2: Convert to fraction form
    16,097.20/24,145.80 = 13,025.20/x
  3. Step 3: Cross multiply
    16,097.20x = 24,145.80 × 13,025.20
  4. Step 4: Simplify right side
    16,097.20x = 314,503,874.16
  5. Step 5: Solve for x
    x = 314,503,874.16/16,097.20
  6. Step 6: Final answer
    x = 19,537.80

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1.5x scale

Why These Related Problems?

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