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Finding the Fourth Proportional to 14,091.63, 19,447.86 and 7,804

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Solution

The fourth proportional to 14,091.63, 19,447.86 and 7,804 is: 10,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.63 : 19,447.86 = 7,804 : x
  2. Step 2: Convert to fraction form
    14,091.63/19,447.86 = 7,804/x
  3. Step 3: Cross multiply
    14,091.63x = 19,447.86 × 7,804
  4. Step 4: Simplify right side
    14,091.63x = 151,771,099.44
  5. Step 5: Solve for x
    x = 151,771,099.44/14,091.63
  6. Step 6: Final answer
    x = 10,770.30

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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.