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Finding the Fourth Proportional to 14,257.67, 19,673.87 and 7,883.39

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Solution

The fourth proportional to 14,257.67, 19,673.87 and 7,883.39 is: 10,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.67 : 19,673.87 = 7,883.39 : x
  2. Step 2: Convert to fraction form
    14,257.67/19,673.87 = 7,883.39/x
  3. Step 3: Cross multiply
    14,257.67x = 19,673.87 × 7,883.39
  4. Step 4: Simplify right side
    14,257.67x = 155,096,750.60
  5. Step 5: Solve for x
    x = 155,096,750.60/14,257.67
  6. Step 6: Final answer
    x = 10,878.13

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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.