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Finding the Fourth Proportional to 16,000.10, 24,000.15 and 13,408.10

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Solution

The fourth proportional to 16,000.10, 24,000.15 and 13,408.10 is: 20,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.10 : 24,000.15 = 13,408.10 : x
  2. Step 2: Convert to fraction form
    16,000.10/24,000.15 = 13,408.10/x
  3. Step 3: Cross multiply
    16,000.10x = 24,000.15 × 13,408.10
  4. Step 4: Simplify right side
    16,000.10x = 321,796,411.22
  5. Step 5: Solve for x
    x = 321,796,411.22/16,000.10
  6. Step 6: Final answer
    x = 20,112.15

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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.