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Finding the Fourth Proportional to 16,314, 24,476.49 and 6,953.64

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Solution

The fourth proportional to 16,314, 24,476.49 and 6,953.64 is: 10,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 24,476.49 = 6,953.64 : x
  2. Step 2: Convert to fraction form
    16,314/24,476.49 = 6,953.64/x
  3. Step 3: Cross multiply
    16,314x = 24,476.49 × 6,953.64
  4. Step 4: Simplify right side
    16,314x = 170,200,699.92
  5. Step 5: Solve for x
    x = 170,200,699.92/16,314
  6. Step 6: Final answer
    x = 10,432.80

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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.