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Finding the Fourth Proportional to 16,021.84, 24,015.74 and 9,451.12

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Solution

The fourth proportional to 16,021.84, 24,015.74 and 9,451.12 is: 14,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.84 : 24,015.74 = 9,451.12 : x
  2. Step 2: Convert to fraction form
    16,021.84/24,015.74 = 9,451.12/x
  3. Step 3: Cross multiply
    16,021.84x = 24,015.74 × 9,451.12
  4. Step 4: Simplify right side
    16,021.84x = 226,975,640.63
  5. Step 5: Solve for x
    x = 226,975,640.63/16,021.84
  6. Step 6: Final answer
    x = 14,166.64

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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.