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Finding the Fourth Proportional to 13,907.39, 19,192.68 and 7,619.76

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Solution

The fourth proportional to 13,907.39, 19,192.68 and 7,619.76 is: 10,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.39 : 19,192.68 = 7,619.76 : x
  2. Step 2: Convert to fraction form
    13,907.39/19,192.68 = 7,619.76/x
  3. Step 3: Cross multiply
    13,907.39x = 19,192.68 × 7,619.76
  4. Step 4: Simplify right side
    13,907.39x = 146,243,615.36
  5. Step 5: Solve for x
    x = 146,243,615.36/13,907.39
  6. Step 6: Final answer
    x = 10,515.54

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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.