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Finding the Fourth Proportional to 12,452.88, 18,666.36 and 4,658.32

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Solution

The fourth proportional to 12,452.88, 18,666.36 and 4,658.32 is: 6,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.88 : 18,666.36 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    12,452.88/18,666.36 = 4,658.32/x
  3. Step 3: Cross multiply
    12,452.88x = 18,666.36 × 4,658.32
  4. Step 4: Simplify right side
    12,452.88x = 86,953,878.12
  5. Step 5: Solve for x
    x = 86,953,878.12/12,452.88
  6. Step 6: Final answer
    x = 6,982.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.