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Finding the Fourth Proportional to 16,024.84, 24,020.24 and 9,454.12

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Solution

The fourth proportional to 16,024.84, 24,020.24 and 9,454.12 is: 14,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.84 : 24,020.24 = 9,454.12 : x
  2. Step 2: Convert to fraction form
    16,024.84/24,020.24 = 9,454.12/x
  3. Step 3: Cross multiply
    16,024.84x = 24,020.24 × 9,454.12
  4. Step 4: Simplify right side
    16,024.84x = 227,090,231.39
  5. Step 5: Solve for x
    x = 227,090,231.39/16,024.84
  6. Step 6: Final answer
    x = 14,171.14

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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.