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Finding the Fourth Proportional to 13,675.71, 18,872.47 and 7,388.08

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Solution

The fourth proportional to 13,675.71, 18,872.47 and 7,388.08 is: 10,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.71 : 18,872.47 = 7,388.08 : x
  2. Step 2: Convert to fraction form
    13,675.71/18,872.47 = 7,388.08/x
  3. Step 3: Cross multiply
    13,675.71x = 18,872.47 × 7,388.08
  4. Step 4: Simplify right side
    13,675.71x = 139,431,281.22
  5. Step 5: Solve for x
    x = 139,431,281.22/13,675.71
  6. Step 6: Final answer
    x = 10,195.55

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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.