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Finding the Fourth Proportional to 13,907.17, 19,191.49 and 7,619.41

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Solution

The fourth proportional to 13,907.17, 19,191.49 and 7,619.41 is: 10,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.17 : 19,191.49 = 7,619.41 : x
  2. Step 2: Convert to fraction form
    13,907.17/19,191.49 = 7,619.41/x
  3. Step 3: Cross multiply
    13,907.17x = 19,191.49 × 7,619.41
  4. Step 4: Simplify right side
    13,907.17x = 146,227,830.82
  5. Step 5: Solve for x
    x = 146,227,830.82/13,907.17
  6. Step 6: Final answer
    x = 10,514.56

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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.