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Finding the Fourth Proportional to 13,455.18, 18,563.58 and 7,788.42

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Solution

The fourth proportional to 13,455.18, 18,563.58 and 7,788.42 is: 10,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.18 : 18,563.58 = 7,788.42 : x
  2. Step 2: Convert to fraction form
    13,455.18/18,563.58 = 7,788.42/x
  3. Step 3: Cross multiply
    13,455.18x = 18,563.58 × 7,788.42
  4. Step 4: Simplify right side
    13,455.18x = 144,580,957.74
  5. Step 5: Solve for x
    x = 144,580,957.74/13,455.18
  6. Step 6: Final answer
    x = 10,745.38

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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.