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Finding the Fourth Proportional to 16,286, 24,429.02 and 3,974

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Solution

The fourth proportional to 16,286, 24,429.02 and 3,974 is: 5,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286 : 24,429.02 = 3,974 : x
  2. Step 2: Convert to fraction form
    16,286/24,429.02 = 3,974/x
  3. Step 3: Cross multiply
    16,286x = 24,429.02 × 3,974
  4. Step 4: Simplify right side
    16,286x = 97,080,925.48
  5. Step 5: Solve for x
    x = 97,080,925.48/16,286
  6. Step 6: Final answer
    x = 5,961.00

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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.