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Finding the Fourth Proportional to 13,918.30, 19,208.14 and 7,630.68

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Solution

The fourth proportional to 13,918.30, 19,208.14 and 7,630.68 is: 10,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.30 : 19,208.14 = 7,630.68 : x
  2. Step 2: Convert to fraction form
    13,918.30/19,208.14 = 7,630.68/x
  3. Step 3: Cross multiply
    13,918.30x = 19,208.14 × 7,630.68
  4. Step 4: Simplify right side
    13,918.30x = 146,571,169.74
  5. Step 5: Solve for x
    x = 146,571,169.74/13,918.30
  6. Step 6: Final answer
    x = 10,530.82

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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.