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Finding the Fourth Proportional to 13,452.34, 18,563.96 and 7,787.38

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Solution

The fourth proportional to 13,452.34, 18,563.96 and 7,787.38 is: 10,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.34 : 18,563.96 = 7,787.38 : x
  2. Step 2: Convert to fraction form
    13,452.34/18,563.96 = 7,787.38/x
  3. Step 3: Cross multiply
    13,452.34x = 18,563.96 × 7,787.38
  4. Step 4: Simplify right side
    13,452.34x = 144,564,610.82
  5. Step 5: Solve for x
    x = 144,564,610.82/13,452.34
  6. Step 6: Final answer
    x = 10,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.