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Finding the Fourth Proportional to 13,675.10, 18,871.62 and 7,387.47

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Solution

The fourth proportional to 13,675.10, 18,871.62 and 7,387.47 is: 10,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.10 : 18,871.62 = 7,387.47 : x
  2. Step 2: Convert to fraction form
    13,675.10/18,871.62 = 7,387.47/x
  3. Step 3: Cross multiply
    13,675.10x = 18,871.62 × 7,387.47
  4. Step 4: Simplify right side
    13,675.10x = 139,413,498.90
  5. Step 5: Solve for x
    x = 139,413,498.90/13,675.10
  6. Step 6: Final answer
    x = 10,194.70

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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.