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Finding the Fourth Proportional to 12,857.19, 17,742 and 7,191.64

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Solution

The fourth proportional to 12,857.19, 17,742 and 7,191.64 is: 9,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.19 : 17,742 = 7,191.64 : x
  2. Step 2: Convert to fraction form
    12,857.19/17,742 = 7,191.64/x
  3. Step 3: Cross multiply
    12,857.19x = 17,742 × 7,191.64
  4. Step 4: Simplify right side
    12,857.19x = 127,594,076.88
  5. Step 5: Solve for x
    x = 127,594,076.88/12,857.19
  6. Step 6: Final answer
    x = 9,923.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.