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Finding the Fourth Proportional to 16,671, 24,994.16 and 10,095.64

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Solution

The fourth proportional to 16,671, 24,994.16 and 10,095.64 is: 15,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,671 : 24,994.16 = 10,095.64 : x
  2. Step 2: Convert to fraction form
    16,671/24,994.16 = 10,095.64/x
  3. Step 3: Cross multiply
    16,671x = 24,994.16 × 10,095.64
  4. Step 4: Simplify right side
    16,671x = 252,332,041.46
  5. Step 5: Solve for x
    x = 252,332,041.46/16,671
  6. Step 6: Final answer
    x = 15,135.99

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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.