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Finding the Fourth Proportional to 14,160.42, 19,540.99 and 7,787.03

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Solution

The fourth proportional to 14,160.42, 19,540.99 and 7,787.03 is: 10,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.42 : 19,540.99 = 7,787.03 : x
  2. Step 2: Convert to fraction form
    14,160.42/19,540.99 = 7,787.03/x
  3. Step 3: Cross multiply
    14,160.42x = 19,540.99 × 7,787.03
  4. Step 4: Simplify right side
    14,160.42x = 152,166,275.36
  5. Step 5: Solve for x
    x = 152,166,275.36/14,160.42
  6. Step 6: Final answer
    x = 10,745.89

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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.