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Finding the Fourth Proportional to 14,476, 19,976.96 and 7,852

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Solution

The fourth proportional to 14,476, 19,976.96 and 7,852 is: 10,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476 : 19,976.96 = 7,852 : x
  2. Step 2: Convert to fraction form
    14,476/19,976.96 = 7,852/x
  3. Step 3: Cross multiply
    14,476x = 19,976.96 × 7,852
  4. Step 4: Simplify right side
    14,476x = 156,859,089.92
  5. Step 5: Solve for x
    x = 156,859,089.92/14,476
  6. Step 6: Final answer
    x = 10,835.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.