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Finding the Fourth Proportional to 13,675.76, 18,872.56 and 7,388.13

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Solution

The fourth proportional to 13,675.76, 18,872.56 and 7,388.13 is: 10,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.76 : 18,872.56 = 7,388.13 : x
  2. Step 2: Convert to fraction form
    13,675.76/18,872.56 = 7,388.13/x
  3. Step 3: Cross multiply
    13,675.76x = 18,872.56 × 7,388.13
  4. Step 4: Simplify right side
    13,675.76x = 139,432,926.71
  5. Step 5: Solve for x
    x = 139,432,926.71/13,675.76
  6. Step 6: Final answer
    x = 10,195.63

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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.