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Finding the Fourth Proportional to 13,853.98, 19,119.18 and 7,566.31

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Solution

The fourth proportional to 13,853.98, 19,119.18 and 7,566.31 is: 10,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.98 : 19,119.18 = 7,566.31 : x
  2. Step 2: Convert to fraction form
    13,853.98/19,119.18 = 7,566.31/x
  3. Step 3: Cross multiply
    13,853.98x = 19,119.18 × 7,566.31
  4. Step 4: Simplify right side
    13,853.98x = 144,661,642.83
  5. Step 5: Solve for x
    x = 144,661,642.83/13,853.98
  6. Step 6: Final answer
    x = 10,441.88

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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.