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Finding the Fourth Proportional to 14,767.71, 20,379.36 and 8,053.21

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Solution

The fourth proportional to 14,767.71, 20,379.36 and 8,053.21 is: 11,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.71 : 20,379.36 = 8,053.21 : x
  2. Step 2: Convert to fraction form
    14,767.71/20,379.36 = 8,053.21/x
  3. Step 3: Cross multiply
    14,767.71x = 20,379.36 × 8,053.21
  4. Step 4: Simplify right side
    14,767.71x = 164,119,265.75
  5. Step 5: Solve for x
    x = 164,119,265.75/14,767.71
  6. Step 6: Final answer
    x = 11,113.39

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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.