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Finding the Fourth Proportional to 12,646.67, 18,967.37 and 3,762.05

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Solution

The fourth proportional to 12,646.67, 18,967.37 and 3,762.05 is: 5,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.67 : 18,967.37 = 3,762.05 : x
  2. Step 2: Convert to fraction form
    12,646.67/18,967.37 = 3,762.05/x
  3. Step 3: Cross multiply
    12,646.67x = 18,967.37 × 3,762.05
  4. Step 4: Simplify right side
    12,646.67x = 71,356,080.66
  5. Step 5: Solve for x
    x = 71,356,080.66/12,646.67
  6. Step 6: Final answer
    x = 5,642.28

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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.