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Finding the Fourth Proportional to 14,842.77, 20,461.38 and 11,299.83

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Solution

The fourth proportional to 14,842.77, 20,461.38 and 11,299.83 is: 15,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.77 : 20,461.38 = 11,299.83 : x
  2. Step 2: Convert to fraction form
    14,842.77/20,461.38 = 11,299.83/x
  3. Step 3: Cross multiply
    14,842.77x = 20,461.38 × 11,299.83
  4. Step 4: Simplify right side
    14,842.77x = 231,210,115.57
  5. Step 5: Solve for x
    x = 231,210,115.57/14,842.77
  6. Step 6: Final answer
    x = 15,577.29

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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.