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Finding the Fourth Proportional to 14,476.38, 19,977.40 and 7,852.38

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Solution

The fourth proportional to 14,476.38, 19,977.40 and 7,852.38 is: 10,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.38 : 19,977.40 = 7,852.38 : x
  2. Step 2: Convert to fraction form
    14,476.38/19,977.40 = 7,852.38/x
  3. Step 3: Cross multiply
    14,476.38x = 19,977.40 × 7,852.38
  4. Step 4: Simplify right side
    14,476.38x = 156,870,136.21
  5. Step 5: Solve for x
    x = 156,870,136.21/14,476.38
  6. Step 6: Final answer
    x = 10,836.28

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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.