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Finding the Fourth Proportional to 16,076.29, 24,095.81 and 9,508

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Solution

The fourth proportional to 16,076.29, 24,095.81 and 9,508 is: 14,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.29 : 24,095.81 = 9,508 : x
  2. Step 2: Convert to fraction form
    16,076.29/24,095.81 = 9,508/x
  3. Step 3: Cross multiply
    16,076.29x = 24,095.81 × 9,508
  4. Step 4: Simplify right side
    16,076.29x = 229,102,961.48
  5. Step 5: Solve for x
    x = 229,102,961.48/16,076.29
  6. Step 6: Final answer
    x = 14,250.98

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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.