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Finding the Fourth Proportional to 16,074.45, 24,102.45 and 9,505.24

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Solution

The fourth proportional to 16,074.45, 24,102.45 and 9,505.24 is: 14,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.45 : 24,102.45 = 9,505.24 : x
  2. Step 2: Convert to fraction form
    16,074.45/24,102.45 = 9,505.24/x
  3. Step 3: Cross multiply
    16,074.45x = 24,102.45 × 9,505.24
  4. Step 4: Simplify right side
    16,074.45x = 229,099,511.58
  5. Step 5: Solve for x
    x = 229,099,511.58/16,074.45
  6. Step 6: Final answer
    x = 14,252.40

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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.