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Finding the Fourth Proportional to 16,054.14, 24,079.10 and 7,287

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Solution

The fourth proportional to 16,054.14, 24,079.10 and 7,287 is: 10,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.14 : 24,079.10 = 7,287 : x
  2. Step 2: Convert to fraction form
    16,054.14/24,079.10 = 7,287/x
  3. Step 3: Cross multiply
    16,054.14x = 24,079.10 × 7,287
  4. Step 4: Simplify right side
    16,054.14x = 175,464,401.70
  5. Step 5: Solve for x
    x = 175,464,401.70/16,054.14
  6. Step 6: Final answer
    x = 10,929.54

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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.