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Finding the Fourth Proportional to 14,091.81, 19,448 and 7,804.18

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Solution

The fourth proportional to 14,091.81, 19,448 and 7,804.18 is: 10,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.81 : 19,448 = 7,804.18 : x
  2. Step 2: Convert to fraction form
    14,091.81/19,448 = 7,804.18/x
  3. Step 3: Cross multiply
    14,091.81x = 19,448 × 7,804.18
  4. Step 4: Simplify right side
    14,091.81x = 151,775,692.64
  5. Step 5: Solve for x
    x = 151,775,692.64/14,091.81
  6. Step 6: Final answer
    x = 10,770.49

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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.