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Finding the Fourth Proportional to 16,246, 24,369.96 and 5,302

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Solution

The fourth proportional to 16,246, 24,369.96 and 5,302 is: 7,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246 : 24,369.96 = 5,302 : x
  2. Step 2: Convert to fraction form
    16,246/24,369.96 = 5,302/x
  3. Step 3: Cross multiply
    16,246x = 24,369.96 × 5,302
  4. Step 4: Simplify right side
    16,246x = 129,209,527.92
  5. Step 5: Solve for x
    x = 129,209,527.92/16,246
  6. Step 6: Final answer
    x = 7,953.31

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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.