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Finding the Fourth Proportional to 13,818.62, 19,073.75 and 7,853.58

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Solution

The fourth proportional to 13,818.62, 19,073.75 and 7,853.58 is: 10,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.62 : 19,073.75 = 7,853.58 : x
  2. Step 2: Convert to fraction form
    13,818.62/19,073.75 = 7,853.58/x
  3. Step 3: Cross multiply
    13,818.62x = 19,073.75 × 7,853.58
  4. Step 4: Simplify right side
    13,818.62x = 149,797,182.26
  5. Step 5: Solve for x
    x = 149,797,182.26/13,818.62
  6. Step 6: Final answer
    x = 10,840.24

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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.