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Finding the Fourth Proportional to 12,649.31, 18,970.66 and 3,762.25

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Solution

The fourth proportional to 12,649.31, 18,970.66 and 3,762.25 is: 5,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.31 : 18,970.66 = 3,762.25 : x
  2. Step 2: Convert to fraction form
    12,649.31/18,970.66 = 3,762.25/x
  3. Step 3: Cross multiply
    12,649.31x = 18,970.66 × 3,762.25
  4. Step 4: Simplify right side
    12,649.31x = 71,372,346.77
  5. Step 5: Solve for x
    x = 71,372,346.77/12,649.31
  6. Step 6: Final answer
    x = 5,642.39

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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.