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Finding the Fourth Proportional to 16,314.14, 24,479.58 and 7,994

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Solution

The fourth proportional to 16,314.14, 24,479.58 and 7,994 is: 11,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.14 : 24,479.58 = 7,994 : x
  2. Step 2: Convert to fraction form
    16,314.14/24,479.58 = 7,994/x
  3. Step 3: Cross multiply
    16,314.14x = 24,479.58 × 7,994
  4. Step 4: Simplify right side
    16,314.14x = 195,689,762.52
  5. Step 5: Solve for x
    x = 195,689,762.52/16,314.14
  6. Step 6: Final answer
    x = 11,995.10

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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.