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Finding the Fourth Proportional to 12,649.80, 18,989.10 and 7,458.60

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Solution

The fourth proportional to 12,649.80, 18,989.10 and 7,458.60 is: 11,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.80 : 18,989.10 = 7,458.60 : x
  2. Step 2: Convert to fraction form
    12,649.80/18,989.10 = 7,458.60/x
  3. Step 3: Cross multiply
    12,649.80x = 18,989.10 × 7,458.60
  4. Step 4: Simplify right side
    12,649.80x = 141,632,101.26
  5. Step 5: Solve for x
    x = 141,632,101.26/12,649.80
  6. Step 6: Final answer
    x = 11,196.39

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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.